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Research on Dispersive Equations and Harmonic Analysis

Research Project

Project/Area Number 18KK0073
Research Category

Fund for the Promotion of Joint International Research (Fostering Joint International Research (B))

Allocation TypeMulti-year Fund
Review Section Medium-sized Section 12:Analysis, applied mathematics, and related fields
Research InstitutionWaseda University

Principal Investigator

小澤 徹  早稲田大学, 理工学術院, 教授 (70204196)

Co-Investigator(Kenkyū-buntansha) 田中 和永  早稲田大学, 理工学術院, 教授 (20188288)
BEZ NEAL  埼玉大学, 理工学研究科, 教授 (30729843)
内田 俊  大分大学, 理工学部, 講師 (60777986)
湯浅 一哉  早稲田大学, 理工学術院, 教授 (90339721)
Project Period (FY) 2018-10-09 – 2025-03-31
Project Status Granted (Fiscal Year 2023)
Budget Amount *help
¥17,810,000 (Direct Cost: ¥13,700,000、Indirect Cost: ¥4,110,000)
Fiscal Year 2022: ¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2021: ¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2020: ¥3,770,000 (Direct Cost: ¥2,900,000、Indirect Cost: ¥870,000)
Fiscal Year 2019: ¥3,510,000 (Direct Cost: ¥2,700,000、Indirect Cost: ¥810,000)
Fiscal Year 2018: ¥2,730,000 (Direct Cost: ¥2,100,000、Indirect Cost: ¥630,000)
Keywords分散方程式 / 漸近解析 / 調和解析 / 変分解析 / 函数解析
Outline of Annual Research Achievements

当該年度は研究代表者・分担者・協力者がピサ大学および早稲田大学に集まり、個別の問題に少人数で集中的に取り組むとともに、全体の会合において、研究成果・研究の進捗状況・途中経過・部分的成果・解決すべき課題等を披露し、活発に意見交換を行うとともに、今後の研究の方向性について検討を重ねた。
対数型相互作用をもつ非線型シュレディンガー方程式に関しては、弱解および強解の存在と一意性について従来の理論を大幅に見易い形に整備するとともに、一般論に繋がる新しい知見を得た。
微分型相互作用をもつ非線型シュレディンガー方程式に関しては、一次元トーラス上で強解の大域的存在を示し、永年の未解決問題を肯定的に解決した。
量子マスター方程式に関しては、「マクスウェルの悪魔」と呼ばれる現象の新たな定式化に、この方程式の解析が有効であることを見出し、電流制御の視点から理論体系を整備した。
流体の速度場を記述するブリンクマン・フォルシュハイマー方程式系として知られている二重拡散移流方程式系に関しては、3次元および4次元の全空間において、時間周期解の存在を示し、考える領域の有界性の条件が必ずしも本質的でないことを実証する形となった。
ハイパーグラフ上のラプラシアンに関しては、その発展方程式すなわちハイパーグラフ上の熱方程式に対して新しい知見を得た。また、作用素半群の超縮小性と対数型ソボレフ不等式の安定性を定式化し、その証明を与えた。

Current Status of Research Progress
Current Status of Research Progress

2: Research has progressed on the whole more than it was originally planned.

Reason

COVID-19の影響による規制は無くなったため、国外との往来が可能になり、海外の研究者と直接対面しての研究討論が再開されるようになってきた。おおむね順調に進んでいる。

Strategy for Future Research Activity

7月7日-12日にローマ・サピエンツァ大学にてINDAM Rome La Sapienza Universityにて開催される研究集会"Future perspectives on perturbative linear and non-linear modelling of contact-type interactions"(7/8-12)にGeorgiev教授とともに参加し、研究の成果を発表する。

Report

(6 results)
  • 2023 Research-status Report
  • 2022 Research-status Report
  • 2021 Research-status Report
  • 2020 Research-status Report
  • 2019 Research-status Report
  • 2018 Research-status Report
  • Research Products

    (174 results)

All 2024 2023 2022 2021 2020 2019 2018 Other

All Int'l Joint Research (21 results) Journal Article (48 results) (of which Int'l Joint Research: 39 results,  Peer Reviewed: 48 results,  Open Access: 30 results) Presentation (91 results) (of which Int'l Joint Research: 47 results,  Invited: 55 results) Book (9 results) Remarks (4 results) Funded Workshop (1 results)

  • [Int'l Joint Research] Nazarbayev University(カザフスタン)

    • Related Report
      2023 Research-status Report
  • [Int'l Joint Research] Gebze Technical University(トルコ)

    • Related Report
      2023 Research-status Report
  • [Int'l Joint Research] Jeonbuk National University/Chung-Ang University(韓国)

    • Related Report
      2023 Research-status Report
  • [Int'l Joint Research] University of Bari/University of Pisa(イタリア)

    • Related Report
      2023 Research-status Report
  • [Int'l Joint Research] Macquarie University(オーストラリア)

    • Related Report
      2023 Research-status Report
  • [Int'l Joint Research]

    • Related Report
      2023 Research-status Report
  • [Int'l Joint Research] Nazarbayev University(カザフスタン)

    • Related Report
      2022 Research-status Report
  • [Int'l Joint Research] Utah State University(米国)

    • Related Report
      2022 Research-status Report
  • [Int'l Joint Research] ピサ大学/Universita di Bari/Universita degli Studi di Bari Aldo Moro(イタリア)

    • Related Report
      2022 Research-status Report
  • [Int'l Joint Research] Beijing Normal University(中国)

    • Related Report
      2022 Research-status Report
  • [Int'l Joint Research] MacquarieUniversity(オーストラリア)

    • Related Report
      2022 Research-status Report
  • [Int'l Joint Research] Macquarie University(オーストラリア)

    • Related Report
      2021 Research-status Report
  • [Int'l Joint Research] バリ大学/ピサ大学(イタリア)

    • Related Report
      2021 Research-status Report
  • [Int'l Joint Research] Nazarbayev University(カザフスタン)

    • Related Report
      2021 Research-status Report
  • [Int'l Joint Research] ピサ大学/バリ大学(イタリア)

    • Related Report
      2020 Research-status Report
  • [Int'l Joint Research] Nazarbayev University(カザフスタン)

    • Related Report
      2020 Research-status Report
  • [Int'l Joint Research] ピサ大学/バリ大学/Sapienza University of Rome(イタリア)

    • Related Report
      2019 Research-status Report
  • [Int'l Joint Research] Macquarie University(オーストラリア)

    • Related Report
      2019 Research-status Report
  • [Int'l Joint Research] Basque Center for Applied Mathematics(スペイン)

    • Related Report
      2019 Research-status Report
  • [Int'l Joint Research] ピサ大学/高等師範/バリ大学(イタリア)

    • Related Report
      2018 Research-status Report
  • [Int'l Joint Research] Aberystwyth大学(英国)

    • Related Report
      2018 Research-status Report
  • [Journal Article] Refined Decay Estimate and Analyticity of Solutions to the Linear Heat Equation in Homogeneous Besov Spaces2023

    • Author(s)
      T. Ozawa, T. Takeuchi
    • Journal Title

      Journal of Fourier Analysis and Applications

      Volume: 29 Issue: 5

    • DOI

      10.1007/s00041-023-10042-2

    • Related Report
      2023 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Weighted estimates and large time behavior of small amplitude solutions to the semilinear heat equation2023

    • Author(s)
      R. Kusaba, T. Ozawa
    • Journal Title

      Differential Equations & Applications

      Volume: 15 Issue: 3 Pages: 235-268

    • DOI

      10.7153/dea-2023-15-13

    • Related Report
      2023 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Charge conjugation approach to scattering for the Hartree type Dirac equations with chirality2023

    • Author(s)
      Y. Cho, S. Hong, T. Ozawa
    • Journal Title

      Journal of Mathematical Physics

      Volume: 64 Issue: 2

    • DOI

      10.1063/5.0118132

    • Related Report
      2023 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Inverse problems of identifying the time-dependent source coefficient for subelliptic heat equations2023

    • Author(s)
      M. Ismailov, T. Ozawa, D. Suragan
    • Journal Title

      Inverse Problems and Imaging

      Volume: 0 Issue: 4 Pages: 813-823

    • DOI

      10.3934/ipi.2023056

    • Related Report
      2023 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Rigorous analysis of the unified transform method and long-range instabilities for the inhomogeneous time-dependent Schr?dinger equation on the quarter-plane2023

    • Author(s)
      A. Chatziafratis, T. Ozawa, S.-F. Tian
    • Journal Title

      Mathematische Annalen

      Volume: - Issue: 4 Pages: 3535-3602

    • DOI

      10.1007/s00208-023-02698-4

    • Related Report
      2023 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] A Deformation Theory in Augmented Spaces and Concentration Results for NLS Equations Around Local Maxima2023

    • Author(s)
      S. Cingolani, K. Tanaka
    • Journal Title

      Birkh\"{a}user/Springer

      Volume: - Pages: 309-331

    • DOI

      10.1007/978-3-031-20021-2_16

    • ISBN
      9783031200205, 9783031200212
    • Related Report
      2023 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Semi-classical Analysis Around Local Maxima and Saddle Points for Degenerate Nonlinear Choquard Equations2023

    • Author(s)
      S. Cingolani, K. Tanaka
    • Journal Title

      The Journal of Geometric Analysis

      Volume: 33 Issue: 10

    • DOI

      10.1007/s12220-023-01367-x

    • Related Report
      2023 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Quantum ergotropy and quantum feedback control2023

    • Author(s)
      Kenta Koshihara, Kazuya Yuasa
    • Journal Title

      Physical Review E

      Volume: 107 Issue: 6 Pages: 064109-064109

    • DOI

      10.1103/physreve.107.064109

    • Related Report
      2023 Research-status Report
    • Peer Reviewed
  • [Journal Article] Stability of hypercontractivity, the logarithmic Sobolev inequality, and Talagrand's cost inequality2023

    • Author(s)
      Bez Neal、Nakamura Shohei、Tsuji Hiroshi
    • Journal Title

      Journal of Functional Analysis

      Volume: 285 Issue: 10 Pages: 110121-110121

    • DOI

      10.1016/j.jfa.2023.110121

    • Related Report
      2023 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Nonlinear evolution equation associated with hypergraph Laplacian2023

    • Author(s)
      Ikeda Masahiro、Uchida Shun
    • Journal Title

      Mathematical Methods in the Applied Sciences

      Volume: - Issue: 8 Pages: 9463-9476

    • DOI

      10.1002/mma.9068

    • Related Report
      2023 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Revisiting the Rellich inequality2023

    • Author(s)
      N. Bez, S. Machihara, T. Ozawa
    • Journal Title

      Mathematische Zeitschrift

      Volume: 303 Issue: 2 Pages: 49-49

    • DOI

      10.1007/s00209-022-03203-4

    • Related Report
      2022 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Vanishing dispersion limit for Schr\"odinger-improved Boussinesq system in two space dimensions2022

    • Author(s)
      T. Ozawa, K. Tomioka
    • Journal Title

      Asymptotic Analysis

      Volume: 130 Issue: 3-4 Pages: 427-437

    • DOI

      10.3233/asy-221758

    • Related Report
      2022 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Nonlinear elliptic equations of sublinearity: qualitative behavior of solutions2022

    • Author(s)
      Ikoma Norihisa、Tanaka Kazunaga、Wang Zhi-Qiang、Zhang Chengxiang
    • Journal Title

      Indiana University Mathematics Journal

      Volume: 71 Issue: 5 Pages: 2001-2043

    • DOI

      10.1512/iumj.2022.71.9168

    • Related Report
      2022 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Multiple solutions for the nonlinear Choquard equation with even or odd nonlinearities2022

    • Author(s)
      Cingolani Silvia、Gallo Marco、Tanaka Kazunaga
    • Journal Title

      Calculus of Variations and Partial Differential Equations

      Volume: 61 Issue: 2 Pages: 68-68

    • DOI

      10.1007/s00526-021-02182-4

    • Related Report
      2022 Research-status Report 2021 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] One bound to rule them all: from Adiabatic to Zeno2022

    • Author(s)
      Daniel Burgarth, Paolo Facchi, Giovanni Gramegna, and Kazuya Yuasa
    • Journal Title

      Quantum

      Volume: 6 Pages: 737-737

    • DOI

      10.22331/q-2022-06-14-737

    • Related Report
      2022 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Unification of Random Dynamical Decoupling and the Quantum Zeno Effect2022

    • Author(s)
      Alexander Hahn, Daniel Burgarth, and Kazuya Yuasa
    • Journal Title

      New Journal of Physics

      Volume: 24 Issue: 6 Pages: 063027-063027

    • DOI

      10.1088/1367-2630/ac6b4f

    • Related Report
      2022 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Solvability of doubly nonlinear parabolic equation with <i>p</i>-laplacian2022

    • Author(s)
      S. Uchida
    • Journal Title

      Evolution Equations and Control Theory

      Volume: 11 Issue: 3 Pages: 975-975

    • DOI

      10.3934/eect.2021033

    • Related Report
      2022 Research-status Report
    • Peer Reviewed
  • [Journal Article] Inverse abstract Cauchy problems2022

    • Author(s)
      T. Ozawa, J. Restrepo, D. Suragan
    • Journal Title

      Applicable Analysis

      Volume: 101 Issue: 14 Pages: 4965-4969

    • DOI

      10.1080/00036811.2021.1877679

    • Related Report
      2022 Research-status Report 2021 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Poincare inequalities with exact missing terms on homogeneous groups2021

    • Author(s)
      OZAWA Tohru、SURAGAN Durvudkhan
    • Journal Title

      Journal of the Mathematical Society of Japan

      Volume: 73 Issue: 2 Pages: 497-503

    • DOI

      10.2969/jmsj/83738373

    • NAID

      130008029572

    • Related Report
      2021 Research-status Report 2020 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Schr\"odinger-improved Boussinesq system in two space dimensions2021

    • Author(s)
      T. Ozawa, K. Tomioka
    • Journal Title

      Asymptotic Analysis

      Volume: -

    • Related Report
      2021 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] On fractional Schroedinger equations with Hartree type nonlinearities2021

    • Author(s)
      Cingolani Silvia、Tanaka Kazunaga
    • Journal Title

      Mathematics in Engineering

      Volume: 4 Issue: 6 Pages: 1-33

    • DOI

      10.3934/mine.2022056

    • Related Report
      2021 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Erratum: Normalized solutions for fractional nonlinear scalar field equations via Lagrangian formulation (2021 Nonlinearity 34 4017)2021

    • Author(s)
      Cingolani S、Gallo M、Tanaka K
    • Journal Title

      Nonlinearity

      Volume: 34 Issue: 10 Pages: C3-C3

    • DOI

      10.1088/1361-6544/ac166f

    • Related Report
      2021 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Normalized solutions for fractional nonlinear scalar field equations via Lagrangian formulation2021

    • Author(s)
      Cingolani S、Gallo M、Tanaka K
    • Journal Title

      Nonlinearity

      Volume: 34 Issue: 6 Pages: 4017-4056

    • DOI

      10.1088/1361-6544/ac0166

    • Related Report
      2021 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Ground State Solutions for the Nonlinear Choquard Equation with Prescribed Mass2021

    • Author(s)
      Cingolani Silvia、Tanaka Kazunaga
    • Journal Title

      Geometric properties for parabolic and elliptic PDEs, Springer INdAM Ser. 47

      Volume: 47 Pages: 23-41

    • DOI

      10.1007/978-3-030-73363-6_2

    • ISBN
      9783030733629, 9783030733636
    • Related Report
      2021 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Deformation Argument under PSP Condition and Applications2021

    • Author(s)
      S. Cingolani, K. Tanaka
    • Journal Title

      Analysis in Theory and Applications

      Volume: 37 Issue: 2 Pages: 191-208

    • DOI

      10.4208/ata.2021.pr80.03

    • Related Report
      2021 Research-status Report 2020 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Semi-classical states for logarithmic Schr?dinger equations2021

    • Author(s)
      Ikoma Norihisa、Tanaka Kazunaga、Wang Zhi-Qiang、Zhang Chengxiang
    • Journal Title

      Nonlinearity

      Volume: 34 Issue: 4 Pages: 1900-1942

    • DOI

      10.1088/1361-6544/abd52a

    • Related Report
      2021 Research-status Report 2020 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Kolmogorov-Arnold-Moser Stability for Conserved Quantities in Finite-Dimensional Quantum Systems2021

    • Author(s)
      Daniel Burgarth, Paolo Facchi, Hiromichi Nakazato, Saverio Pascazio, and Kazuya Yuasa
    • Journal Title

      Physical Review Letters

      Volume: 126 Issue: 15 Pages: 150401-150401

    • DOI

      10.1103/physrevlett.126.150401

    • Related Report
      2021 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Eternal Adiabaticity in Quantum Evolution2021

    • Author(s)
      Daniel Burgarth, Paolo Facchi, Hiromichi Nakazato, Saverio Pascazio, and Kazuya Yuasa
    • Journal Title

      Physical Review A

      Volume: 103 Issue: 3

    • DOI

      10.1103/physreva.103.032214

    • Related Report
      2020 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Strichartz estimates for orthonormal families of initial data and weighted oscillatory integral estimates2021

    • Author(s)
      Bez Neal, Lee Sanghyuk, Nakamura Shohei
    • Journal Title

      Forum of Mathematics, Sigma

      Volume: 9 Pages: 1-52

    • DOI

      10.1017/fms.2020.64

    • Related Report
      2020 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Existence and uniqueness of classical paths under quadratic potentials2020

    • Author(s)
      Narita Kazuki, Ozawa Tohru
    • Journal Title

      Calculus of Variations and Partial Differential Equations

      Volume: 59 Issue: 4 Pages: 128-128

    • DOI

      10.1007/s00526-020-01791-9

    • Related Report
      2020 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Global solutions to the Maxwell-Navier-Stokes system in a bounded domain in 2D2020

    • Author(s)
      Fan Jishan, Ozawa Tohru
    • Journal Title

      Zeitschrift f\"ur angewandte Mathematik und Physik

      Volume: 71 Issue: 4 Pages: 136-136

    • DOI

      10.1007/s00033-020-01364-y

    • Related Report
      2020 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Multidimensional inverse Cauchy problems for evolution equations2020

    • Author(s)
      Karazym Mukhtar, Ozawa Tohru, Suragan Durvudkhan
    • Journal Title

      Inverse Problems in Science and Engineering

      Volume: 28 Issue: 11 Pages: 1582-1590

    • DOI

      10.1080/17415977.2020.1739034

    • Related Report
      2020 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Sharp remainder of the Poincar\'e inequality2020

    • Author(s)
      Ozawa Tohru, Suragan Durvudkhan
    • Journal Title

      Proceedings of the American Mathematical Society

      Volume: 148 Issue: 10 Pages: 4235-4239

    • DOI

      10.1090/proc/15119

    • Related Report
      2020 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Well-posedness of a 2D time-dependent Ginzburg-Landau superconductivity model2020

    • Author(s)
      Fan Jishan, Ozawa Tohru
    • Journal Title

      Nonlinear Analysis and Differential Equations

      Volume: 8 Issue: 1 Pages: 89-97

    • DOI

      10.12988/nade.2020.91126

    • Related Report
      2020 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Quantum Zeno Dynamics from General Quantum Operations2020

    • Author(s)
      Daniel Burgarth, Paolo Facchi, Hiromichi Nakazato, Saverio Pascazio, and Kazuya Yuasa
    • Journal Title

      Quantum

      Volume: 4 Pages: 289-289

    • DOI

      10.22331/q-2020-07-06-289

    • Related Report
      2020 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Maximal estimates for the Schr\"odinger equation with orthonormal initial data2020

    • Author(s)
      Bez Neal, Lee Sanghyuk, Nakamura Shohei
    • Journal Title

      Selecta Mathematica

      Volume: 26 Issue: 4 Pages: 26-52

    • DOI

      10.1007/s00029-020-00582-6

    • Related Report
      2020 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] On global well-posedness for nonlinear semirelativistic equations in some scaling subcritical and critical cases2020

    • Author(s)
      Fujiwara Kazumasa、Georgiev Vladimir、Ozawa Tohru
    • Journal Title

      J. Math. Pures Appl.

      Volume: 136 Pages: 239-256

    • DOI

      10.1016/j.matpur.2019.10.003

    • Related Report
      2019 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Self-similar solutions to the derivative nonlinear Schr\"odinger equation2020

    • Author(s)
      Fujiwara Kazumasa、Georgiev Vladimir、Ozawa Tohru
    • Journal Title

      Journal of Differential Equations

      Volume: 268 Issue: 12 Pages: 7940-7961

    • DOI

      10.1016/j.jde.2019.11.089

    • Related Report
      2019 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Blow-Up or Global Existence for the Fractional Ginzburg-Landau Equation in Multi-dimensional Case2019

    • Author(s)
      Forcella Luigi、Fujiwara Kazumasa、Georgiev Vladimir、Ozawa Tohru
    • Journal Title

      “New Tools for NonlinearPDEs and Applications,” Birkh\"auser

      Volume: Trends in Mathematics Pages: 179-202

    • DOI

      10.1007/978-3-030-10937-0_6

    • ISBN
      9783030109363, 9783030109370
    • Related Report
      2019 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Generalized Adiabatic Theorem and Strong-Coupling Limits2019

    • Author(s)
      Daniel Burgarth, Paolo Facchi, Hiromichi Nakazato, Saverio Pascazio, and Kazuya Yuasa
    • Journal Title

      Quantum

      Volume: 3 Pages: 152-152

    • DOI

      10.22331/q-2019-06-12-152

    • Related Report
      2019 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Relaxation to Gaussian generalized Gibbs ensembles in quadratic bosonic systems in the thermodynamic limit2019

    • Author(s)
      Takaaki Monnai, Shohei Morodome, and Kazuya Yuasa
    • Journal Title

      Phys. Rev. E

      Volume: 100 Issue: 2 Pages: 022105-022105

    • DOI

      10.1103/physreve.100.022105

    • Related Report
      2019 Research-status Report
    • Peer Reviewed
  • [Journal Article] Phase Diagram of Bipartite Entanglement2019

    • Author(s)
      Paolo Facchi, Giorgio Parisi, Saverio Pascazio, Antonello Scardicchio, and Kazuya Yuasa
    • Journal Title

      Journal of Physics A: Mathematical and Theoretical

      Volume: 52 Issue: 41 Pages: 414002-414002

    • DOI

      10.1088/1751-8121/ab3f4e

    • Related Report
      2019 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Semi-classical states for the nonlinear Choquard equations: existence, multiplicity and concentration at a potential well2019

    • Author(s)
      Cingolani Silvia、Tanaka Kazunaga
    • Journal Title

      Rev. Mat. Iberoam.

      Volume: 35 Issue: 6 Pages: 1885-1924

    • DOI

      10.4171/rmi/1105

    • Related Report
      2019 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] A note on deformation argument for $L^2$ normalized solutions of nonlinear Schr\"odinger equations and systems2019

    • Author(s)
      Ikoma Norihisa、Tanaka Kazunaga
    • Journal Title

      Adv. Differential Equations

      Volume: 24 Pages: 609-646

    • Related Report
      2019 Research-status Report
    • Peer Reviewed
  • [Journal Article] Local well-posedness and blow-up for the half Ginzburg-Landau-Kuramoto equation with rough coefficients and potential2019

    • Author(s)
      Forcella Luigi, Fujiwara Kazumasa, Georgiev Vladimir, Ozawa Tohru
    • Journal Title

      Discrete & Continuous Dynamical Systems - A

      Volume: 39 Issue: 5 Pages: 2661-2678

    • DOI

      10.3934/dcds.2019111

    • Related Report
      2018 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Optimal Gaussian Metrology for Generic Multimode Interferometric Circuit2019

    • Author(s)
      Teruo Matsubara, Paolo Facchi, Vittorio Giovannetti, and Kazuya Yuasa
    • Journal Title

      New Journal of Physics

      Volume: 21 Issue: 3 Pages: 033014-033014

    • DOI

      10.1088/1367-2630/ab0604

    • Related Report
      2018 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Semi-classical states for the nonlinear Choquard equations: existence, multiplicity and concentration at a potential well2019

    • Author(s)
      S. Cingolani, K. Tanaka
    • Journal Title

      Rev. Ibero. Math.

      Volume: 印刷中

    • Related Report
      2018 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Existence of time periodic solution to some double-diffusive convection system in the whole space domain2018

    • Author(s)
      Otani, M. and Uchida, S.
    • Journal Title

      Journal of Mathematical Fluid Mechanics

      Volume: 20(3) Issue: 3 Pages: 1035-1058

    • DOI

      10.1007/s00021-017-0354-1

    • Related Report
      2018 Research-status Report
    • Peer Reviewed
  • [Presentation] Inequalities in the framework of equalities2024

    • Author(s)
      T. Ozawa
    • Organizer
      研究集会「幾何学的偏微分方程式に対する正則性特異性とその周辺」 Regularity and Singularity for Geometric PDE and related topics -in honor of Professor Masashi Misawa's 60th birthday-
    • Related Report
      2023 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Evolution equation with logarithmic nonlinearity2024

    • Author(s)
      T. Ozawa
    • Organizer
      Analysis Seminar @ University of Pisa
    • Related Report
      2023 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Embedding inequalities by the heat semigroup approach2024

    • Author(s)
      T. Ozawa
    • Organizer
      SDU life Workshop @ SDU University
    • Related Report
      2023 Research-status Report
    • Invited
  • [Presentation] ガリアルド・ニーレンバーグの不等式の熱半群による証明2024

    • Author(s)
      T. Ozawa
    • Organizer
      大阪公立大学数学研究所(OCAMI)共同利用研究集会
    • Related Report
      2023 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Semi-classical analysis around local maxima and saddle points for generalized nonlinear Choquard equations2024

    • Author(s)
      K. Tanaka
    • Organizer
      PDE seminar, Department of Mathematics, Swansea University
    • Related Report
      2023 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Semi-classical analysis for nonlinear Schr\"odinger equations and nonlinear Choquard equations in possibly degenerate settings2024

    • Author(s)
      K. Tanaka
    • Organizer
      PDE seminar, School of Mathematics, Cardiff University
    • Related Report
      2023 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Normalized solutions for nonlinear Schr\"odinger equations with $L^2$ critical nonlinearity2024

    • Author(s)
      K. Tanaka
    • Organizer
      PDE seminar, Department of Mathematical Sciences, University of Bath
    • Related Report
      2023 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Strong error bounds for Trotter & Strang Splittings and their implications to Quantum Chemistry2024

    • Author(s)
      Daniel Burgarth, Paolo Facchi, Alexander Hahn, Mattias Johnsson, and Kazuya Yuasa
    • Organizer
      87th Annual Conference of the DPG and DPG Spring Meeting
    • Related Report
      2023 Research-status Report
    • Int'l Joint Research
  • [Presentation] 量子熱力学における量子測定とフィードバック制御の効果2024

    • Author(s)
      越原健太、湯浅一哉
    • Organizer
      Quantum Foundations (芝浦工業大学)
    • Related Report
      2023 Research-status Report
  • [Presentation] Thermodynamics of Steady Heat Engines Driven by Quantum Measurement Backaction2024

    • Author(s)
      Kenta Koshihara, Kazuya Yuasa
    • Organizer
      Statistical & Quantum Physics Winter School 2024 (SQP2024)
    • Related Report
      2023 Research-status Report
  • [Presentation] Quantum Control of nano-diamond Nitrogen Vacancy spin ensembles2024

    • Author(s)
      Jemy Geordy, Alexander Hahn, Anirban Dey, Kazuya Yuasa, Daniel Burgarth, Sarath Raman Nair, and Thomas Volz
    • Organizer
      Quantum2024 Australia
    • Related Report
      2023 Research-status Report
    • Int'l Joint Research
  • [Presentation] Trotter Product Formula: Unexpected Scaling in Quantum Chemistry2024

    • Author(s)
      Daniel Burgarth, Paolo Facchi, Alexander Hahn, Mattias Johnsson, and Kazuya Yuasa
    • Organizer
      Quantum2024 Australia
    • Related Report
      2023 Research-status Report
    • Int'l Joint Research
  • [Presentation] Breaking badly: unexpected Trotter error scaling for realistic quantum systems2024

    • Author(s)
      Daniel Burgarth, Paolo Facchi, Alexander Hahn, Mattias Johnsson, and Kazuya Yuasa
    • Organizer
      Quantum Information Processing 2024 (QIP 2024)
    • Related Report
      2023 Research-status Report
    • Int'l Joint Research
  • [Presentation] An approximation of evolution equation with clique expansion of hypergraph Laplacian2024

    • Author(s)
      S. Uchida
    • Organizer
      2024日本数学会年会 実函数論分科会
    • Related Report
      2023 Research-status Report
  • [Presentation] Proof of the Gagliardo-Nirenberg Sobolev inequalities via heat semigroup2023

    • Author(s)
      T. Ozawa
    • Organizer
      Harmonic analysis and differential equations: new questions and challenges
    • Related Report
      2023 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Poincar\'eand Poincar\'e-Wirtinger inequalities, revisited2023

    • Author(s)
      T. Ozawa
    • Organizer
      Harmonic analysis and differential equations: new questions and challenges
    • Related Report
      2023 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] 等式の枠組における不等式2023

    • Author(s)
      T. Ozawa
    • Organizer
      愛媛大学解析セミナー
    • Related Report
      2023 Research-status Report
    • Invited
  • [Presentation] Semi-classical states for nonlinear Choquard equations: Concentration around local maxima or saddle points in degenerate setting2023

    • Author(s)
      K. Tanaka
    • Organizer
      13th AIMS Conference on Dynamical Systems, Differential Equations and Applications
    • Related Report
      2023 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Variational Studies of Nonlinear Elliptic Problems2023

    • Author(s)
      K. Tanaka
    • Organizer
      International research programme, School of Mathematics and Statics, Northwestern Polytechnical University, 中国, によるオンライン連続講演, (6 回)
    • Related Report
      2023 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Trotter Product Formula: Unexpected Scaling in Quantum Chemistry2023

    • Author(s)
      Daniel Burgarth, Paolo Facchi, Alexander Hahn, Mattias Johnsson, and Kazuya Yuasa
    • Organizer
      EQUS Annual Workshop 2023
    • Related Report
      2023 Research-status Report
    • Int'l Joint Research
  • [Presentation] 量子測定による反跳の効果で駆動する定常熱サイクル2023

    • Author(s)
      越原健太、藤本大来、湯浅一哉
    • Organizer
      日本物理学会第78回年次大会 (東北大学)
    • Related Report
      2023 Research-status Report
  • [Presentation] Eternal Adiabaticity and Long-Term Stability of Perturbed Quantum Symmetries2023

    • Author(s)
      Kazuya Yuasa
    • Organizer
      Puglia Summer Trimester 2023 (PST2023): Conference
    • Related Report
      2023 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Eternal Adiabaticity and Long-Term Stability of Perturbed Quantum Symmetries2023

    • Author(s)
      Kazuya Yuasa
    • Organizer
      VI International Workshop on Information Geometry, Quantum Mechanics and Applications 2023
    • Related Report
      2023 Research-status Report
    • Int'l Joint Research
  • [Presentation] Eternal Adiabaticity and Long-Term Stability of Perturbed Quantum Symmetries2023

    • Author(s)
      Kazuya Yuasa
    • Organizer
      Mathematical Physics in Quantum Technology: From Finite to Infinite Dimensions (MPQT23) International Centre for Mathematical Sciences (ICMS)
    • Related Report
      2023 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] A nonlinear Brascamp-Lieb inequality2023

    • Author(s)
      N. Bez
    • Organizer
      Asia-Pacific Analysis and PDE Seminar
    • Related Report
      2023 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Regularized Brascamp-Lieb inequalities2023

    • Author(s)
      N. Bez
    • Organizer
      Modern Trends in Harmonic Analysis
    • Related Report
      2023 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Nonlinear evolution equation associated with hypergraph Laplacian2023

    • Author(s)
      S. Uchida
    • Organizer
      第792回応用解析研究会
    • Related Report
      2023 Research-status Report
    • Invited
  • [Presentation] Nonlinear evolution equation associated with hypergraph Laplacian2023

    • Author(s)
      S. Uchida
    • Organizer
      The 13th AIMS Conference on Dynamical Systems, Differential Equations and Applications (Special Session No. 65)
    • Related Report
      2023 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Solvability of doubly nonlinear parabolic equation with p-Laplacian2023

    • Author(s)
      S. Uchida
    • Organizer
      The 13th AIMS Conference on Dynamical Systems, Differential Equations and Applications (Special Session No. 18)
    • Related Report
      2023 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] ハイパーグラフラプラシアンを主要項とする非線型多価常微分方程式について2023

    • Author(s)
      S. Uchida
    • Organizer
      第188回神楽坂解析セミナー
    • Related Report
      2023 Research-status Report
    • Invited
  • [Presentation] ハイパーグラフラプラシアンを主要項とする非線形発展方程式について2023

    • Author(s)
      S. Uchida
    • Organizer
      第4回大同大学若手微分方程式セミナー
    • Related Report
      2023 Research-status Report
    • Invited
  • [Presentation] Sufficient condition of maximality of sum of monotone operators2023

    • Author(s)
      S. Uchida
    • Organizer
      2023日本数学会秋季総合分科会 実函数論分科会
    • Related Report
      2023 Research-status Report
  • [Presentation] Nonlinear set-valued ODE governed by hypergraph Laplacian2023

    • Author(s)
      S. Uchida
    • Organizer
      Workshop on Nonlinear Partial Differential Equations China-Japan Joint Project for Young Mathematicians 2023
    • Related Report
      2023 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] ハイパーグラフラプラシアンのClique expansionを主要項とする近似方程式について2023

    • Author(s)
      S. Uchida
    • Organizer
      第49回発展方程式研究会
    • Related Report
      2023 Research-status Report
  • [Presentation] Proof of the Gagliardo-Nirenberg inequalities via heat semigroup2023

    • Author(s)
      T. Ozawa
    • Organizer
      MATRIX-RIMS Tandem Workshop
    • Related Report
      2022 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Semi-classical states for nonlinear Choquard equations: Concentration around local maxima or saddle points in degenerate setting2023

    • Author(s)
      K. Tanaka
    • Organizer
      “Workshop on Variational Methods and Functional Inequalities” (RIMS 訪問滞在型研究計画)
    • Related Report
      2022 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Universal bound for various limit evolutions: from Adiabatic to Zeno2023

    • Author(s)
      K. Yuasa
    • Organizer
      V International Workshop on Information Geometry, Quantum Mechanics and Applications 2023
    • Related Report
      2022 Research-status Report
    • Int'l Joint Research
  • [Presentation] ハイパーグラフラプラシアンを主要項とする非線型発展方程式について2023

    • Author(s)
      S. Uchida
    • Organizer
      九州工業大学数理セミナー
    • Related Report
      2022 Research-status Report
    • Invited
  • [Presentation] Zakharov limit and vanishing dispersion limit for the Schr\"odinger-improved Boussinesq system2022

    • Author(s)
      T. Ozawa
    • Organizer
      CONFERENCE EN HOMMAGE A JEAN GINIBRE
    • Related Report
      2022 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Semi-classical states for nonlinear Choquard equations: Concentration around local maxima or saddle points in degenerate setting2022

    • Author(s)
      K. Tanaka
    • Organizer
      Qualitative and quantitative aspects of nonlinear PDEs
    • Related Report
      2022 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Multiple solutions for the nonlinear Choquard equation with even or odd nonlinearities2022

    • Author(s)
      K. Tanaka
    • Organizer
      International Conference on Nonlinear Analysis and Nonlinear Partial Differential Equations
    • Related Report
      2022 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Heat equation on the hypergraph containing vertices with given data2022

    • Author(s)
      S. Uchida
    • Organizer
      2022年度 日本数学会 秋季総合分科会 実函数論分科会
    • Related Report
      2022 Research-status Report
  • [Presentation] Multivalued ordinary differential equation governed by hypergraph Laplacian2022

    • Author(s)
      S. Uchida
    • Organizer
      RIMS共同研究 発展方程式論の革新:異分野との融合がもたらす理論の深化
    • Related Report
      2022 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] いくつかの頂点での値が既知であるハイパーグラフ上の発展方程式について2022

    • Author(s)
      S. Uchida
    • Organizer
      第48回発展方程式研究会
    • Related Report
      2022 Research-status Report
  • [Presentation] Stability of Nelson's hypercontractivity inequality2022

    • Author(s)
      B. Neal
    • Organizer
      2nd Harmonic Analysis Workshop in Seoul
    • Related Report
      2022 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] On the nonlinear Brascamp-Lieb inequality2022

    • Author(s)
      B. Neal
    • Organizer
      11th International Conference on Harmonic Analysis and Partial Differential Equations
    • Related Report
      2022 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Zakharov System in Two Space Dimensions2021

    • Author(s)
      T. Ozawa
    • Organizer
      INdAM Workshop "Qualitative Properties of Dispersive PDEs" (Online)
    • Related Report
      2021 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Deformation Argument under PSP Condition and Applications2021

    • Author(s)
      K. Tanaka
    • Organizer
      The-matic Session: Variational Equations and Applications to Differential Equations, 33o Col\'oquio Brasileiro de Matem\'atica, IMPA,(Online)
    • Related Report
      2021 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] 量子系のマクスウェルの悪魔における量子測定とフィードバック制御の役割2021

    • Author(s)
      越原健太・湯浅一哉
    • Organizer
      第45回量子情報技術研究会 (QIT45)(オンライン開催)
    • Related Report
      2021 Research-status Report
  • [Presentation] 順序の量子重ね合わせによってノイズの影響を抑制する量子計測2021

    • Author(s)
      藤本大来・湯浅一哉
    • Organizer
      第45回量子情報技術研究会 (QIT45)(オンライン開催)
    • Related Report
      2021 Research-status Report
  • [Presentation] 線形光学回路による量子レザバー計算: 光の量子状態の特徴量推定2021

    • Author(s)
      横山夏希・新徳誠也・湯浅一哉
    • Organizer
      第45回量子情報技術研究会 (QIT45)(オンライン開催)
    • Related Report
      2021 Research-status Report
  • [Presentation] 線形光学回路を用いる量子レザバー計算: 光の量子状態の特徴量推定2021

    • Author(s)
      横山夏希・新徳誠也・湯浅一哉
    • Organizer
      日本物理学会2021年秋季大会 (オンライン開催)
    • Related Report
      2021 Research-status Report
  • [Presentation] 順序の量子重ね合わせによってノイズの影響を抑制する量子計測2021

    • Author(s)
      藤本大来・湯浅一哉
    • Organizer
      日本物理学会2021年秋季大会 (オンライン開催)
    • Related Report
      2021 Research-status Report
  • [Presentation] 量子系の熱力学サイクルにおける量子測定とフィードバック制御の役割2021

    • Author(s)
      越原健太・湯浅一哉
    • Organizer
      日本物理学会2021年秋季大会 (オンライン開催)
    • Related Report
      2021 Research-status Report
  • [Presentation] Eternal Adiabaticity and KAM-Stability in Quantum Mechanics2021

    • Author(s)
      Daniel Burgarth, Kazuya Yuasa, Paolo Facchi, Hiromichi Nakazato, and Saverio Pascazio
    • Organizer
      21th Asian Quantum Information Science Conference (AQIS 2021)(Online)
    • Related Report
      2021 Research-status Report
  • [Presentation] Pointwise convergence for the Schroedinger equation with orthonormal initial data2021

    • Author(s)
      BEZ NEAL
    • Organizer
      13th ISAAC Congress (Harmonic Analysis and PDEs session)(Online)
    • Related Report
      2021 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] The nonlinear Brascamp--Lieb inequality2021

    • Author(s)
      BEZ NEAL
    • Organizer
      13th ISAAC Congress (Function spaces and their applications to nonlinear evolution equations session)(Online)
    • Related Report
      2021 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] p-ラプラシアンを主要項に持つ二重非線型放物型方程式の可解性について2021

    • Author(s)
      内田 俊
    • Organizer
      第56回南大阪応用数学セミナー(オンライン)
    • Related Report
      2021 Research-status Report
    • Invited
  • [Presentation] Nonlinear evolution equation associated with Hypergraph Laplacian2021

    • Author(s)
      内田 俊
    • Organizer
      日本数学会2021年度秋季総合分科会(オンライン)
    • Related Report
      2021 Research-status Report
  • [Presentation] ハイパーグラフラプラシアンを主要項とする発展方程式について2021

    • Author(s)
      内田 俊
    • Organizer
      第24回非線形発展方程式セミナー@KUE
    • Related Report
      2021 Research-status Report
    • Invited
  • [Presentation] ハイパーグラフ-p-ラプラシアンに対するPoincare-Wirtinger型不等式とその応用について2021

    • Author(s)
      内田 俊
    • Organizer
      第47回 発展方程式研究会(オンライン)
    • Related Report
      2021 Research-status Report
  • [Presentation] 二重非線型抽象発展方程式の時間周期問題の可解性について2021

    • Author(s)
      内田俊
    • Organizer
      第4回 反応拡散方程式と非線形分散型方程式の解の挙動(オンライン)
    • Related Report
      2020 Research-status Report
    • Invited
  • [Presentation] On the Poincar\'e and Related Inequalities2020

    • Author(s)
      小澤徹
    • Organizer
      International Workshop on Multiphase Flows: Analysis, Modelling and Numerics (On-line)
    • Related Report
      2020 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] 未知のノイズパラメータの存在下における量子計測2020

    • Author(s)
      持田稜介、湯浅一哉
    • Organizer
      第43回量子情報技術研究会(QIT43) (オンライン)
    • Related Report
      2020 Research-status Report
    • Int'l Joint Research
  • [Presentation] 未知のノイズパラメータの存在下における量子計測2020

    • Author(s)
      持田稜介、湯浅一哉
    • Organizer
      日本物理学会2020年秋季大会 (オンライン)
    • Related Report
      2020 Research-status Report
  • [Presentation] 量子ドットを介して超伝導体間に流れるカレントに対する量子ゆらぎ定理2020

    • Author(s)
      今井智博、内野瞬、門内隆明、湯浅一哉
    • Organizer
      日本物理学会2020年秋季大会 (オンライン)
    • Related Report
      2020 Research-status Report
  • [Presentation] Solvability of doubly nonlinear parabolic equations with p-Laplacian2020

    • Author(s)
      内田俊
    • Organizer
      第45回偏微分方程式論札幌シンポジウム(オンライン)
    • Related Report
      2020 Research-status Report
    • Invited
  • [Presentation] Solvability of doubly nonlinear parabolic equations with p-Laplacian2020

    • Author(s)
      内田俊
    • Organizer
      2020年度日本数学会秋季総合分科会 実函数論分科会(オンライン)
    • Related Report
      2020 Research-status Report
  • [Presentation] p-ラプラシアンを主要項に持つ二重非線型放物型方程式の適切性について2020

    • Author(s)
      内田俊
    • Organizer
      第13回非線形発展方程式セミナー(オンライン)
    • Related Report
      2020 Research-status Report
    • Invited
  • [Presentation] p-ラプラシアンを主要項に持つ二重非線型放物型方程式の適切性について2020

    • Author(s)
      内田俊
    • Organizer
      第46回 発展方程式研究会(オンライン)
    • Related Report
      2020 Research-status Report
  • [Presentation] p-ラプラシアンを主要項とする二重非線型放物型方程式の可解性について2020

    • Author(s)
      内田俊
    • Organizer
      第17回 Elliptic and Parabolic Zoom Seminar(オンライン)
    • Related Report
      2020 Research-status Report
    • Invited
  • [Presentation] 非線形楕円型方程式の解の存在問題 - Pohozaev の等式を巡って -2020

    • Author(s)
      田中和永
    • Organizer
      微分方程式の総合的研究, 日本数学会関数方程式分科会(オンライン)
    • Related Report
      2020 Research-status Report
    • Invited
  • [Presentation] マクスウェルの悪魔による電流逆流モデル: 厳密解に基づく非マルコフ性の効果2020

    • Author(s)
      越原健太、湯浅一哉
    • Organizer
      日本物理学会第75回年次大会
    • Related Report
      2019 Research-status Report
  • [Presentation] 量子測定の繰り返しによる熱流の誘起2020

    • Author(s)
      棚橋将、越原健太、湯浅一哉
    • Organizer
      日本物理学会第75回年次大会
    • Related Report
      2019 Research-status Report
  • [Presentation] Self‐similar solutions to the derivative nonlinear Schr\"odinger equation2019

    • Author(s)
      Ozawa Tohru
    • Organizer
      12th ISAAC Congress
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] 複数の量子チャンネルの順序の量子重ね合わせ: 量子状態の保持への応用2019

    • Author(s)
      前田豊、新徳誠也、湯浅一哉
    • Organizer
      第40回量子情報技術研究会 (QIT40)
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research
  • [Presentation] 複数の量子チャンネルの順序の量子重ね合わせによる量子状態保持2019

    • Author(s)
      前田豊、新徳誠也、湯浅一哉
    • Organizer
      日本物理学会2019年秋季大会
    • Related Report
      2019 Research-status Report
  • [Presentation] Optimal Gaussian Metrology for Generic Multimode Interferometric Circuit2019

    • Author(s)
      Kazuya Yuasa, Teruo Matsubara, Paolo Facchi, and Vittorio Giovannetti
    • Organizer
      12th Italian Quantum Information Science Conference (IQIS 2019)
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research
  • [Presentation] Quantum Zeno Dynamics and Adiabatic Theorem2019

    • Author(s)
      Kazuya Yuasa
    • Organizer
      Quantum Information Processing in Non-Markovian Quantum Complex Systems (QIPQC 2019)
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Right-differentiability of solution to some nonlinear abstract evolution equations with non-monotone perturbation2019

    • Author(s)
      内田俊
    • Organizer
      RIMS共同研究(公開型)発展方程式論の新展開:数理理論と現象解析の協働
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] 摂動項付き非線型抽象発展方程式に対する解の右微分可能性について2019

    • Author(s)
      内田俊
    • Organizer
      第15回非線型の諸問題
    • Related Report
      2019 Research-status Report
    • Invited
  • [Presentation] 全空間領域上の二重拡散対流方程式に対する時間周期問題の可解性について2019

    • Author(s)
      内田俊
    • Organizer
      熊本大学応用解析セミナー
    • Related Report
      2019 Research-status Report
    • Invited
  • [Presentation] 全空間領域上の二重拡散対流モデルに対する時間周期解の存在について2019

    • Author(s)
      内田俊
    • Organizer
      九州関数方程式セミナー
    • Related Report
      2019 Research-status Report
    • Invited
  • [Presentation] A singular perturbation problem for nonlinear Choquard equations2019

    • Author(s)
      Tanaka Kazunaga
    • Organizer
      Calculus of variations, a celebration of Paul Rabinowitz's 80th birthday
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Cauchy problem for the quasilinear evolution equation of transverse wave model2019

    • Author(s)
      Ozawa Tohru
    • Organizer
      PDE Workshop Waseda - GSSI, L'Aquila-Pisa
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] The nonlinear Brascamp-Lieb inequality2019

    • Author(s)
      Bez Neal
    • Organizer
      Analysis seminar
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] 極大単調作用素を主要項とする非線型発展方程式に対する解の右微分可能性について2019

    • Author(s)
      内田俊
    • Organizer
      解析学勉強会
    • Related Report
      2018 Research-status Report
    • Invited
  • [Presentation] 摂動項付き非線形発展方程式に対する解の右微分可能性について2019

    • Author(s)
      内田俊
    • Organizer
      東京理科大学談話会
    • Related Report
      2018 Research-status Report
    • Invited
  • [Presentation] A singular perturbation problem for nonlinear Choquard equations2018

    • Author(s)
      K. Tanaka
    • Organizer
      PDEs at Valparaiso
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] バックグラウンドの存在下における量子計測2018

    • Author(s)
      新徳誠也、松原輝王、湯浅一哉
    • Organizer
      第39回量子情報技術研究会 (QIT39)
    • Related Report
      2018 Research-status Report
  • [Presentation] マクスウェルの悪魔による電流の制御: 量子マスター方程式による定式化2018

    • Author(s)
      越原健太、松原輝王、湯浅一哉
    • Organizer
      第39回量子情報技術研究会 (QIT39)
    • Related Report
      2018 Research-status Report
  • [Book] Collected Papers in Honor of Yoshihiro Shibata2023

    • Author(s)
      T. Ozawa (Ed.)
    • Total Pages
      394
    • Publisher
      Birkh\"auser
    • Related Report
      2023 Research-status Report
  • [Book] Qualitative properties of solutions to nonlinear parabolic problems - in honor of Professor Eiji Yanagida on the occasion of his 65th birthday -2023

    • Author(s)
      M. Fila, K. Ishige, T. Ozawa, and S. Shimizu (Eds.)
    • Publisher
      SN Partial Differential Equations and Applications
    • Related Report
      2023 Research-status Report
  • [Book] Proceedings of 48th Sapporo Symposium on Partial Differential Equations2023

    • Author(s)
      S. Ei, Y. Giga, N. Hamamuki, S. Jimbo, H. Kubo, H. Kuroda, Y. Liu, T. Ozawa, T. Sakajo, K. Tsutaya and S. Masaki (Eds.)
    • Total Pages
      130
    • Publisher
      Hokkaido University Technical Report Series in Mathematics
    • Related Report
      2023 Research-status Report
  • [Book] Proceedings of 47th Sapporo Symposium on Partial Differential Equations2022

    • Author(s)
      S. Ei, Y. Giga, N. Hamamuki, S. Jimbo, H. Kubo, H. Kuroda, Y. Liu, T. Ozawa, T. Sakajo, and K. Tsutaya (Eds.)
    • Total Pages
      111
    • Publisher
      Hokkaido University Technical Report Series in Mathematics
    • Related Report
      2022 Research-status Report
  • [Book] Proceedings of 45th Sapporo Symposium on Partial Differential Equations2020

    • Author(s)
      S. Ei, Y. Giga, N. Hamamuki, S. Jimbo, H. Kubo, H. Kuroda, H. Kuroda, T. Ozawa, T. Sakajo, and K. Tsutaya (Eds.)
    • Total Pages
      98
    • Publisher
      Hokkaido University Technical Report Series in Mathematics
    • Related Report
      2020 Research-status Report
  • [Book] Advances in Harmonic Analysis and Partial Differential Equations, Trends in Mathematics2020

    • Author(s)
      V. Georgiev, T. Ozawa, M. Ruzhansky, and J. Wirth (Eds.)
    • Total Pages
      317
    • Publisher
      Birkh\"auser
    • Related Report
      2020 Research-status Report
  • [Book] The Role of Metrics in the Theory of Partial Differential Equations, Advanced Studies in Pure Mathematics2020

    • Author(s)
      Y. Giga ,N. Hamamuki, H. Kubo, H. Kuroda, and T. Ozawa (Eds.)
    • Total Pages
      543
    • Publisher
      Mathematical Society of Japan
    • Related Report
      2020 Research-status Report
  • [Book] New Tools for Nonlinear PDEs and Application2019

    • Author(s)
      M. D'Abbicco, M. R. Ebert, V. Georgiev, T. Ozawa (Eds.)
    • Total Pages
      390
    • Publisher
      Trends in Mathematics, Birkh\"auser
    • ISBN
      9783030109363
    • Related Report
      2019 Research-status Report
  • [Book] Asymptotic analysis of nonlinear dispersive and wave equations2019

    • Author(s)
      K. Kato, T. Ogawa, and T. Ozawa (Eds.)
    • Total Pages
      419
    • Publisher
      Mathematical Society of Japan
    • ISBN
      9784864970815
    • Related Report
      2019 Research-status Report
  • [Remarks] 早稲田大学 理工学術院 先進理工学部 応用物理学科 小澤徹研究室

    • URL

      http://www.ozawa.phys.waseda.ac.jp/index2.html

    • Related Report
      2023 Research-status Report
  • [Remarks] 早稲田大学理工学術院先進理工学部応用物理学科小澤 徹研究室

    • URL

      http://www.ozawa.phys.waseda.ac.jp/index2.html

    • Related Report
      2022 Research-status Report
  • [Remarks] 早稲田大学 理工学術院 先進理工学部 応用物理学科 小澤 徹研究室

    • URL

      http://www.ozawa.phys.waseda.ac.jp/index2.html

    • Related Report
      2021 Research-status Report 2020 Research-status Report 2019 Research-status Report
  • [Remarks] 小澤 徹研究室

    • URL

      http://www.ozawa.phys.waseda.ac.jp/index2.html

    • Related Report
      2018 Research-status Report
  • [Funded Workshop] Fourier Analysis @2002022

    • Related Report
      2022 Research-status Report

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Published: 2018-10-12   Modified: 2024-12-25  

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