Research on Dispersive Equations and Harmonic Analysis

• Project/Area Number: 18KK0073
• Research Category: Fund for the Promotion of Joint International Research (Fostering Joint International Research (B))
• Allocation Type: Multi-year Fund
• Review Section: Medium-sized Section 12:Analysis, applied mathematics, and related fields
• Research Institution: Waseda 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 – 2024-03-31
• Project Status: Granted (Fiscal Year 2022)
• Budget Amount: ¥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

当該年度も引き続きCOVID-19の影響により、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ることは困難だったが、研究代表者のピサ大学訪問が一度だけ実現した。それ以外はオンライン会議を用いて進捗状況・途中経過・部分的成果等を共有し、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ることで、一定の成果を得る事ができた。具体的に述べると、次の通りである。
量子力学のスペクトル理論の基礎を支えるレリッヒの不等式の低次元化を等式の枠組により完全に特徴づけ、新しい最良定数を与えることが出来た。流体力学の基礎方程式であるナビエ・ストークス方程式のセリン型評価に対しては、時空可積分指数の組が両辺で独立に取れることを初めて見出した。クライン・ゴルドン・ディラック系に対しては、ディラック行列のマヨナラ構造に基づく波動函数の分解による散乱理論を構築した。

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緩和されてきたため、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

当研究組織と強い連携関係にあるイタリアのバリ大学の研究者も加え、国際共同研究の一層の展開を進めていく。

Research Products

• [Int'l Joint Research] Nazarbayev University(カザフスタン)
• [Int'l Joint Research] Utah State University(米国)
• [Int'l Joint Research] ピサ大学/Universita di Bari/Universita degli Studi di Bari Aldo Moro(イタリア)
• [Int'l Joint Research] Beijing Normal University(中国)
• [Int'l Joint Research] MacquarieUniversity(オーストラリア)
• [Int'l Joint Research] Macquarie University(オーストラリア)
• [Int'l Joint Research] バリ大学/ピサ大学(イタリア)
• [Int'l Joint Research] Nazarbayev University(カザフスタン)
• [Int'l Joint Research] ピサ大学/バリ大学(イタリア)
• [Int'l Joint Research] Nazarbayev University(カザフスタン)
• [Int'l Joint Research] ピサ大学/バリ大学/Sapienza University of Rome(イタリア)
• [Int'l Joint Research] Macquarie University(オーストラリア)
• [Int'l Joint Research] Basque Center for Applied Mathematics(スペイン)
• [Int'l Joint Research] ピサ大学/高等師範/バリ大学(イタリア)
• [Int'l Joint Research] Aberystwyth大学(英国)
• [Journal Article] Revisiting the Rellich inequality (2023)
  • 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
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Vanishing dispersion limit for Schr\"odinger-improved Boussinesq system in two space dimensions (2022)
  • Author(s): T. Ozawa, K. Tomioka
  • Journal Title: Asymptotic Analysis Volume: 130 Issue: 3-4 Pages: 427-437
  • DOI: 10.3233/asy-221758
  • Peer Reviewed / Open Access
• [Journal Article] Nonlinear elliptic equations of sublinearity: qualitative behavior of solutions (2022)
  • 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
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Multiple solutions for the nonlinear Choquard equation with even or odd nonlinearities (2022)
  • 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
  • Peer Reviewed / Open Access / Int'l Joint Research
• [Journal Article] One bound to rule them all: from Adiabatic to Zeno (2022)
  • 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
  • Peer Reviewed / Open Access / Int'l Joint Research
• [Journal Article] Unification of Random Dynamical Decoupling and the Quantum Zeno Effect (2022)
  • 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
  • Peer Reviewed / Open Access / Int'l Joint Research
• [Journal Article] Solvability of doubly nonlinear parabolic equation with <i>p</i>-laplacian (2022)
  • Author(s): S. Uchida
  • Journal Title: Evolution Equations and Control Theory Volume: 11 Issue: 3 Pages: 975-975
  • DOI: 10.3934/eect.2021033
  • Peer Reviewed
• [Journal Article] Inverse abstract Cauchy problems (2022)
  • 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
  • Peer Reviewed / Open Access / Int'l Joint Research
• [Journal Article] Poincare inequalities with exact missing terms on homogeneous groups (2021)
  • 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
  • Peer Reviewed / Open Access / Int'l Joint Research
• [Journal Article] Schr\"odinger-improved Boussinesq system in two space dimensions (2021)
  • Author(s): T. Ozawa, K. Tomioka
  • Journal Title: Asymptotic Analysis Volume: -
  • Peer Reviewed / Open Access
• [Journal Article] On fractional Schroedinger equations with Hartree type nonlinearities (2021)
  • Author(s): Cingolani Silvia、Tanaka Kazunaga
  • Journal Title: Mathematics in Engineering Volume: 4 Issue: 6 Pages: 1-33
  • DOI: 10.3934/mine.2022056
  • 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
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Normalized solutions for fractional nonlinear scalar field equations via Lagrangian formulation (2021)
  • Author(s): Cingolani S、Gallo M、Tanaka K
  • Journal Title: Nonlinearity Volume: 34 Issue: 6 Pages: 4017-4056
  • DOI: 10.1088/1361-6544/ac0166
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Ground State Solutions for the Nonlinear Choquard Equation with Prescribed Mass (2021)
  • 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
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Deformation Argument under PSP Condition and Applications (2021)
  • 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
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Semi-classical states for logarithmic Schr?dinger equations (2021)
  • 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
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Kolmogorov-Arnold-Moser Stability for Conserved Quantities in Finite-Dimensional Quantum Systems (2021)
  • 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
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Eternal Adiabaticity in Quantum Evolution (2021)
  • 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
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Strichartz estimates for orthonormal families of initial data and weighted oscillatory integral estimates (2021)
  • 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
  • Peer Reviewed / Open Access / Int'l Joint Research
• [Journal Article] Existence and uniqueness of classical paths under quadratic potentials (2020)
  • 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
  • Peer Reviewed / Open Access / Int'l Joint Research
• [Journal Article] Global solutions to the Maxwell-Navier-Stokes system in a bounded domain in 2D (2020)
  • 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
  • Peer Reviewed / Open Access / Int'l Joint Research
• [Journal Article] Multidimensional inverse Cauchy problems for evolution equations (2020)
  • 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
  • Peer Reviewed / Open Access / Int'l Joint Research
• [Journal Article] Sharp remainder of the Poincar\'e inequality (2020)
  • 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
  • Peer Reviewed / Open Access / Int'l Joint Research
• [Journal Article] Well-posedness of a 2D time-dependent Ginzburg-Landau superconductivity model (2020)
  • 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
  • Peer Reviewed / Open Access / Int'l Joint Research
• [Journal Article] Quantum Zeno Dynamics from General Quantum Operations (2020)
  • 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
  • Peer Reviewed / Open Access / Int'l Joint Research
• [Journal Article] Maximal estimates for the Schr\"odinger equation with orthonormal initial data (2020)
  • 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
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] On global well-posedness for nonlinear semirelativistic equations in some scaling subcritical and critical cases (2020)
  • 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
  • Peer Reviewed / Open Access / Int'l Joint Research
• [Journal Article] Self-similar solutions to the derivative nonlinear Schr\"odinger equation (2020)
  • 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
  • Peer Reviewed / Open Access / Int'l Joint Research
• [Journal Article] Blow-Up or Global Existence for the Fractional Ginzburg-Landau Equation in Multi-dimensional Case (2019)
  • 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
  • Peer Reviewed / Open Access / Int'l Joint Research
• [Journal Article] Generalized Adiabatic Theorem and Strong-Coupling Limits (2019)
  • 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
  • Peer Reviewed / Open Access / Int'l Joint Research
• [Journal Article] Relaxation to Gaussian generalized Gibbs ensembles in quadratic bosonic systems in the thermodynamic limit (2019)
  • 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
  • Peer Reviewed
• [Journal Article] Phase Diagram of Bipartite Entanglement (2019)
  • 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
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Semi-classical states for the nonlinear Choquard equations: existence, multiplicity and concentration at a potential well (2019)
  • Author(s): Cingolani Silvia、Tanaka Kazunaga
  • Journal Title: Rev. Mat. Iberoam. Volume: 35 Issue: 6 Pages: 1885-1924
  • DOI: 10.4171/rmi/1105
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] A note on deformation argument for $L^2$ normalized solutions of nonlinear Schr\"odinger equations and systems (2019)
  • Author(s): Ikoma Norihisa、Tanaka Kazunaga
  • Journal Title: Adv. Differential Equations Volume: 24 Pages: 609-646
  • Peer Reviewed
• [Journal Article] Local well-posedness and blow-up for the half Ginzburg-Landau-Kuramoto equation with rough coefficients and potential (2019)
  • 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
  • Peer Reviewed / Open Access / Int'l Joint Research
• [Journal Article] Optimal Gaussian Metrology for Generic Multimode Interferometric Circuit (2019)
  • 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
  • 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 well (2019)
  • Author(s): S. Cingolani, K. Tanaka
  • Journal Title: Rev. Ibero. Math. Volume: 印刷中
  • 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 domain (2018)
  • 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
  • Peer Reviewed
• [Presentation] Proof of the Gagliardo-Nirenberg inequalities via heat semigroup (2023)
  • Author(s): T. Ozawa
  • Organizer: MATRIX-RIMS Tandem Workshop
  • Int'l Joint Research / Invited
• [Presentation] Semi-classical states for nonlinear Choquard equations: Concentration around local maxima or saddle points in degenerate setting (2023)
  • Author(s): K. Tanaka
  • Organizer: “Workshop on Variational Methods and Functional Inequalities” (RIMS 訪問滞在型研究計画)
  • Int'l Joint Research / Invited
• [Presentation] Universal bound for various limit evolutions: from Adiabatic to Zeno (2023)
  • Author(s): K. Yuasa
  • Organizer: V International Workshop on Information Geometry, Quantum Mechanics and Applications 2023
  • 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
  • Invited
• [Presentation] Zakharov limit and vanishing dispersion limit for the Schr\"odinger-improved Boussinesq system (2022)
  • Author(s): T. Ozawa
  • Organizer: CONFERENCE EN HOMMAGE A JEAN GINIBRE
  • Int'l Joint Research / Invited
• [Presentation] Semi-classical states for nonlinear Choquard equations: Concentration around local maxima or saddle points in degenerate setting (2022)
  • Author(s): K. Tanaka
  • Organizer: Qualitative and quantitative aspects of nonlinear PDEs
  • Int'l Joint Research / Invited
• [Presentation] Multiple solutions for the nonlinear Choquard equation with even or odd nonlinearities (2022)
  • Author(s): K. Tanaka
  • Organizer: International Conference on Nonlinear Analysis and Nonlinear Partial Differential Equations
  • Int'l Joint Research / Invited
• [Presentation] Heat equation on the hypergraph containing vertices with given data (2022)
  • 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
• [Presentation] Multivalued ordinary differential equation governed by hypergraph Laplacian (2022)
  • 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
  • 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
• [Presentation] Stability of Nelson's hypercontractivity inequality (2022)
  • Author(s): B. Neal
  • Organizer: 2nd Harmonic Analysis Workshop in Seoul
  • Int'l Joint Research / Invited
• [Presentation] On the nonlinear Brascamp-Lieb inequality (2022)
  • Author(s): B. Neal
  • Organizer: 11th International Conference on Harmonic Analysis and Partial Differential Equations
  • Int'l Joint Research / Invited
• [Presentation] Zakharov System in Two Space Dimensions (2021)
  • Author(s): T. Ozawa
  • Organizer: INdAM Workshop "Qualitative Properties of Dispersive PDEs" (Online)
  • Int'l Joint Research / Invited
• [Presentation] Deformation Argument under PSP Condition and Applications (2021)
  • Author(s): K. Tanaka
  • Organizer: The-matic Session: Variational Equations and Applications to Differential Equations, 33o Col\'oquio Brasileiro de Matem\'atica, IMPA,(Online)
  • 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)
• [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)
• [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)
• [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)
• [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)
• [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)
• [Presentation] Eternal Adiabaticity and KAM-Stability in Quantum Mechanics (2021)
  • Author(s): Daniel Burgarth, Kazuya Yuasa, Paolo Facchi, Hiromichi Nakazato, and Saverio Pascazio
  • Organizer: 21th Asian Quantum Information Science Conference (AQIS 2021)(Online)
• [Presentation] Pointwise convergence for the Schroedinger equation with orthonormal initial data (2021)
  • Author(s): BEZ NEAL
  • Organizer: 13th ISAAC Congress (Harmonic Analysis and PDEs session)(Online)
  • Int'l Joint Research / Invited
• [Presentation] The nonlinear Brascamp--Lieb inequality (2021)
  • Author(s): BEZ NEAL
  • Organizer: 13th ISAAC Congress (Function spaces and their applications to nonlinear evolution equations session)(Online)
  • 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）
  • Invited
• [Presentation] Nonlinear evolution equation associated with Hypergraph Laplacian (2021)
  • 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）
• [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
  • 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）
• [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）
  • Invited
• [Presentation] On the Poincar\'e and Related Inequalities (2020)
  • Author(s): 小澤徹
  • Organizer: International Workshop on Multiphase Flows: Analysis, Modelling and Numerics (On-line)
  • 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)
  • 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)
• [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)
• [Presentation] Solvability of doubly nonlinear parabolic equations with p-Laplacian (2020)
  • 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）
  • Invited
• [Presentation] Solvability of doubly nonlinear parabolic equations with p-Laplacian (2020)
  • 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）
• [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）
  • 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）
• [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）
  • 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）
  • 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
• [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
• [Presentation] Self‐similar solutions to the derivative nonlinear Schr\"odinger equation (2019)
  • Author(s): Ozawa Tohru
  • Organizer: 12th ISAAC Congress
  • 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)
  • 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
• [Presentation] Optimal Gaussian Metrology for Generic Multimode Interferometric Circuit (2019)
  • Author(s): Kazuya Yuasa, Teruo Matsubara, Paolo Facchi, and Vittorio Giovannetti
  • Organizer: 12th Italian Quantum Information Science Conference (IQIS 2019)
  • Int'l Joint Research
• [Presentation] Quantum Zeno Dynamics and Adiabatic Theorem (2019)
  • Author(s): Kazuya Yuasa
  • Organizer: Quantum Information Processing in Non-Markovian Quantum Complex Systems (QIPQC 2019)
  • Int'l Joint Research / Invited
• [Presentation] Right-differentiability of solution to some nonlinear abstract evolution equations with non-monotone perturbation (2019)
  • 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
  • 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
  • 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
  • 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
  • Invited
• [Presentation] A singular perturbation problem for nonlinear Choquard equations (2019)
  • Author(s): Tanaka Kazunaga
  • Organizer: Calculus of variations, a celebration of Paul Rabinowitz's 80th birthday
  • Int'l Joint Research / Invited
• [Presentation] Cauchy problem for the quasilinear evolution equation of transverse wave model (2019)
  • Author(s): Ozawa Tohru
  • Organizer: PDE Workshop Waseda - GSSI, L'Aquila-Pisa
  • Int'l Joint Research / Invited
• [Presentation] The nonlinear Brascamp-Lieb inequality (2019)
  • Author(s): Bez Neal
  • Organizer: Analysis seminar
  • 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
  • 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
  • Invited
• [Presentation] A singular perturbation problem for nonlinear Choquard equations (2018)
  • Author(s): K. Tanaka
  • Organizer: PDEs at Valparaiso
  • 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)
• [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)
• [Book] Proceedings of 47th Sapporo Symposium on Partial Differential Equations (2022)
  • 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
• [Book] Proceedings of 45th Sapporo Symposium on Partial Differential Equations (2020)
  • 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
• [Book] Advances in Harmonic Analysis and Partial Differential Equations, Trends in Mathematics (2020)
  • Author(s): V. Georgiev, T. Ozawa, M. Ruzhansky, and J. Wirth (Eds.)
  • Total Pages: 317
  • Publisher: Birkh\"auser
• [Book] The Role of Metrics in the Theory of Partial Differential Equations, Advanced Studies in Pure Mathematics (2020)
  • Author(s): Y. Giga ,N. Hamamuki, H. Kubo, H. Kuroda, and T. Ozawa (Eds.)
  • Total Pages: 543
  • Publisher: Mathematical Society of Japan
• [Book] New Tools for Nonlinear PDEs and Application (2019)
  • Author(s): M. D'Abbicco, M. R. Ebert, V. Georgiev, T. Ozawa (Eds.)
  • Total Pages: 390
  • Publisher: Trends in Mathematics, Birkh\"auser
  • ISBN: 9783030109363
• [Book] Asymptotic analysis of nonlinear dispersive and wave equations (2019)
  • Author(s): K. Kato, T. Ogawa, and T. Ozawa (Eds.)
  • Total Pages: 419
  • Publisher: Mathematical Society of Japan
  • ISBN: 9784864970815
• [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
• [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
• [Remarks] 小澤 徹研究室
  • URL: http://www.ozawa.phys.waseda.ac.jp/index2.html
• [Funded Workshop] Fourier Analysis @200 (2022)