Geometry and Analysis of Wave Fields

• Project/Area Number: 16104002
• Research Category: Grant-in-Aid for Scientific Research (S)
• Allocation Type: Single-year Grants
• Research Field: Global analysis
• Research Institution: Waseda University (2008); Hokkaido University (2004-2007)
• Principal Investigator: OZAWA Tohru Waseda University, 理工学術院, 教授 (70204196)
• Co-Investigator(Kenkyū-buntansha): ASAO Arai 北海道大学, 大学院・理学研究院, 教授 (80134807) ; GEN Nakamura 北海道大学, 大学院・理学研究院, 教授 (50118535) ; KIMITOSHI Tsutaya 北海道大学, 大学院・理学研究院, 准教授 (60250411) ; REIKA Fukuizumi 北海道大学, 大学院・理学研究院, 助手 (00374182)
• Project Period (FY): 2004 – 2008
• Project Status: Completed (Fiscal Year 2008)
• Budget Amount: ¥86,710,000 (Direct Cost: ¥66,700,000、Indirect Cost: ¥20,010,000); Fiscal Year 2008: ¥18,200,000 (Direct Cost: ¥14,000,000、Indirect Cost: ¥4,200,000); Fiscal Year 2007: ¥17,940,000 (Direct Cost: ¥13,800,000、Indirect Cost: ¥4,140,000); Fiscal Year 2006: ¥17,680,000 (Direct Cost: ¥13,600,000、Indirect Cost: ¥4,080,000); Fiscal Year 2005: ¥17,290,000 (Direct Cost: ¥13,300,000、Indirect Cost: ¥3,990,000); Fiscal Year 2004: ¥15,600,000 (Direct Cost: ¥12,000,000、Indirect Cost: ¥3,600,000)
• Keywords: 非線型双曲型方程式 / 非線型分散型方程式 / 散乱理論 / 量子場 / 逆問題 / 非線型波動方程式 / 非線型シュレディンガー方程式 / 非線型分散方程式 / 非線型ディラック方程式

Research Abstract

非線型波動場の数学的構造の解明を目指し、古典場と量子場に関する様々なモデルについて数学的な研究を行い、自己相似場の数学的理論、ディラック行列の表現の変換と保存量との代数的特徴付け、正準交換変換の弱ワイル表現の構成理論、散乱の順問題と逆問題について新しい理論を構築した。

Research Products

• [Journal Article] Remarks on analytic smoothing effect for the Schrodinger equation (2009)
  • Author(s): T. Ozawa, K. Yamauchi
  • Journal Title: Math. Z. 261 Pages: 511-524
  • Peer Reviewed
• [Journal Article] Remarks on the semirelativistic Hartree equations (2009)
  • Author(s): Y. Cho
  • Journal Title: Discrete and Continuous Dynamical Systems A 23 Pages: 1277-1294
  • Peer Reviewed
• [Journal Article] Uniqueness of weak solutions to the cauchy problem for the 3-Dtime-dependent Ginzburg-Landau model for superconductivity (2009)
  • Author(s): J. Fan
  • Journal Title: Differential and Integral Equations 22 Pages: 27-34
  • Peer Reviewed
• [Journal Article] Elliptic estimates independent of domain expansion (2009)
  • Author(s): Y. Cho
  • Journal Title: Calculus of Variations and PDE 34 Pages: 321-339
  • Peer Reviewed
• [Journal Article] Remarks on analytic smoothing effect for the Schr\"odinger equation (2009)
  • Author(s): T. Ozawa
  • Journal Title: Math. Z. 261 Pages: 511-524
  • Peer Reviewed
• [Journal Article] Regularity criteria for the 3D density-dependent Boussinesq equations (2009)
  • Author(s): J. Fan
  • Journal Title: Nonlinearity 22 Pages: 553-568
  • Peer Reviewed
• [Journal Article] Inequalities associated with dilations (2009)
  • Author(s): T. Ozawa
  • Journal Title: Commun. Contemporary Math. 11 Pages: 1-13
  • NAID: 120006459563
  • Peer Reviewed
• [Journal Article] Necessary and sufficient conditions for a Hamiltonian with discrete eigenvalues to have time operators (2009)
  • Author(s): A. Arai
  • Journal Title: Lett. Math. Phys. 87 Pages: 67-80
  • NAID: 120001177143
  • Peer Reviewed
• [Journal Article] Time operators of a Hamiltonian with purely discrete spectrum (2009)
  • Author(s): A. Arai
  • Journal Title: Rev. Math. Phys. 20 Pages: 951-978
  • NAID: 120001152965
  • Peer Reviewed
• [Journal Article] Construction of a Weyl representation from a weak Weyl representation of the canonical commutation relation (2009)
  • Author(s): A. Arai
  • Journal Title: Lett. Math. Phys. 20 Pages: 201-211
  • NAID: 120000951772
  • Peer Reviewed
• [Journal Article] A Poisson formula for the Schrodinger operator (2008)
  • Author(s): R. Carles, T. Ozawa
  • Journal Title: J. Fourier Anal. Appl 14 Pages: 475-483
  • Peer Reviewed
• [Journal Article] On the wave operators for the critical nonlinear Schrodinger equation (2008)
  • Author(s): R. Carles, T. Ozawa
  • Journal Title: Math. Res. Lett. 15 Pages: 185-195
  • Peer Reviewed
• [Journal Article] Time operators of a Hamiltonian with purely discrete spectrum (2008)
  • Author(s): A. Arai, Y. Matsuzawa
  • Journal Title: Rev. Math. Phys. 20 Pages: 951-978
  • NAID: 120001152965
  • Peer Reviewed
• [Journal Article] Unique continuation for the elastic transversely isotropic dynamical systems and its application. (2008)
  • Author(s): C.-L. Lin, G. Nakamura, M. Sini
  • Journal Title: J. Differential Equations 245(no.10) Pages: 3008-3024
  • Peer Reviewed
• [Journal Article] An inverse boundary value problem for a nonlinear wave equation (2008)
  • Author(s): G. Nakamura, M. Watanabe
  • Journal Title: Inverse Probl. Imaging 2(no.1) Pages: 121-131
  • Peer Reviewed
• [Journal Article] On radial solutions of semi-relativistio Hartree equations (2008)
  • Author(s): Y. Cho
  • Journal Title: Discrete and Continuous Dynamical Systems Series S 1 Pages: 71-82
  • Peer Reviewed
• [Journal Article] Global existence of small classical solutions to nonlinear Schr\"odingerequations (2008)
  • Author(s): T. Ozawa
  • Journal Title: Ann. Inst. Henri Poinoare, Analyse nonlineaire 25 Pages: 303-311
  • Peer Reviewed
• [Journal Article] On the wave operators for the critical nonlinear Schr\"odinger equation (2008)
  • Author(s): R. Carles
  • Journal Title: Math. Res. Lett. 15 Pages: 185-195
  • Peer Reviewed
• [Journal Article] On the regularity criteria for the generalized Navier-Stokes equationsand Lagrangian averaged Euler equations (2008)
  • Author(s): J. Fan
  • Journal Title: Differential and Integral Equations 21 Pages: 443-457
  • Peer Reviewed
• [Journal Article] A Poisson formula for the Sohr\"odinger operator (2008)
  • Author(s): R. Carles
  • Journal Title: J. Fourier Anal. Appl. 14 Pages: 475-483
  • Peer Reviewed
• [Journal Article] Asymptotic stability for the Navier-Stokes equations (2008)
  • Author(s): J. Fan
  • Journal Title: J. Evolution Equations 8 Pages: 379-389
  • Peer Reviewed
• [Journal Article] Regularity criteria for the generalized Navier-Stokes and related equations (2008)
  • Author(s): J. Fan
  • Journal Title: Differential and Integral Equations 21 Pages: 681-691
  • Peer Reviewed
• [Journal Article] Nonlinear Schr\"odinger equation with a point defect (2008)
  • Author(s): R. Fukuizumi
  • Journal Title: Ann. Inst. Henri Poincare, Analyse nonlineaire 25 Pages: 837-845
  • Peer Reviewed
• [Journal Article] Regularity criterion for weak solutions to the Navier-Stokesequations in terms of the gradient of the pressure (2008)
  • Author(s): J. Fan
  • Journal Title: Journal of Inequalities and Applications 2008 Pages: 6-6
  • Peer Reviewed
• [Journal Article] On the uniqueness of weak Weyl representations of the canonical commutation relation (2008)
  • Author(s): A. Arai
  • Journal Title: Lett. Math. Phys. 85 Pages: 15-25
  • NAID: 120001177144
  • Peer Reviewed
• [Journal Article] Some aspects of time operators, in "Quantum Bio-lnformatios" (Editors : L. Accardi, W. Freudenberg and M. Ohya) (2008)
  • Author(s): A. Arai
  • Journal Title: World Scientific Pages: 26-35
  • Peer Reviewed
• [Journal Article] A class of Hilbert space representations of the quantum plane and the quantum algebra Uq(sl2) (2008)
  • Author(s): A. Arai
  • Journal Title: Rep. Math. Phys. 61 Pages: 171-180
  • NAID: 120001206925
  • Peer Reviewed
• [Journal Article] Unique continuation for the elastic transversely isotropic dynamical systems and its application (2008)
  • Author(s): G. Nakamura
  • Journal Title: J. Differential Equations 245 Pages: 3008-3024
  • Peer Reviewed
• [Journal Article] Inversion analysis for magnetic resonance elastography (2008)
  • Author(s): G. Nakamura
  • Journal Title: Appl. Anal. 87 Pages: 165-179
  • Peer Reviewed
• [Journal Article] Numerical differentiation for the second order derivatives of functions of two variables (2008)
  • Author(s): G. Nakamura
  • Journal Title: J. Comput. Appl. Math. 212 Pages: 341-358
  • Peer Reviewed
• [Journal Article] An inverse boundary value problem for a nonlinear wave equation (2008)
  • Author(s): G. Nakamura
  • Journal Title: Inverse Probl. Imaging 2 Pages: 121-131
  • Peer Reviewed
• [Journal Article] The no-response approach and its relation to non-iterative methods for the inverse scattering (2008)
  • Author(s): G. Nakamura
  • Journal Title: Ann. Mat. Pura Appl. 187 Pages: 7-37
  • NAID: 120006459458
  • Peer Reviewed
• [Journal Article] The no-response approach and its relation to non-iterative methods for the inverse scattering (2008)
  • Author(s): N. Honda
  • Journal Title: Ann. Mat. Pura Appl. 187 Pages: 7-37
  • Peer Reviewed
• [Journal Article] On small amplitude solutions to the generalized Boussinesq equations (2007)
  • Author(s): Y. Cho, T. Ozawa
  • Journal Title: Discrete and Continuous Dynamical Systems 17 Pages: 691-711
  • NAID: 120006459470
  • Peer Reviewed
• [Journal Article] generalization of the weighted Strichartz estimates for the wave equations and an application to self-similar solutions (2007)
  • Author(s): J. Kato, M. Nakamura, T. Ozawa, A
  • Journal Title: Commun. Pure Appl. Math. 60 Pages: 164-186
  • NAID: 120000970574
  • Peer Reviewed
• [Journal Article] Reconstruction of the shape and surface impedance from acousticscattering data for an arbitrary cylinder (2007)
  • Author(s): J.J. Liu, G. Nakamura, M. Sini
  • Journal Title: SIAM J. Appl. Math. 67(no.4) Pages: 1124-1146
  • Peer Reviewed
• [Journal Article] On small amplitude solutions to the generalized Boussinesq equations (2007)
  • Author(s): Y. Cho
  • Journal Title: Discrete and Continuous Dynamical Systems 17 Pages: 691-711
  • Peer Reviewed
• [Journal Article] Global solutions of semirelativistic Hartree type equations (2007)
  • Author(s): Y. Cho
  • Journal Title: J. Korean Math. Soc. 44 Pages: 1065-1078
  • Peer Reviewed
• [Journal Article] A generalization of the weighted Strichartz estimates for the wave equations and an application to self-similar solutions (2007)
  • Author(s): J. Kato
  • Journal Title: Commun. Pure Appl. Math. 60 Pages: 164-186
  • Peer Reviewed
• [Journal Article] On the Cauchy problem for Schrodinger-improved Boussinesq equations (2007)
  • Author(s): T. Ozawa
  • Journal Title: Advanced Studies in Pure Math. 47 Pages: 291-301
  • Peer Reviewed
• [Journal Article] Spectrum of time operators (2007)
  • Author(s): A. Arai
  • Journal Title: Lett. Math. Phys. 80 Pages: 211-221
  • NAID: 120000950263
  • Peer Reviewed
• [Journal Article] Heisenberg operators, invariant domains and Heisenberg equations of motion (2007)
  • Author(s): A. Arai
  • Journal Title: Rev. Math. Phys. 19 Pages: 1045-1069
  • NAID: 120000950254
  • Peer Reviewed
• [Journal Article] Regularities of ground states of quantum field models (2007)
  • Author(s): A. Arai
  • Journal Title: Kyushu J. Math. 61 Pages: 321-372
  • NAID: 110006377526
  • Peer Reviewed
• [Journal Article] Identification of a non-convex obstacle for acoustical scattering (2007)
  • Author(s): G. Nakamura
  • Journal Title: J. Inverse Ill-Posed Probl. 15 Pages: 611-624
  • Peer Reviewed
• [Journal Article] Mathematical and physical interpretation of the solution to the initial-boundary value problem in linear hyperbolic thermoelasticity theory (2007)
  • Author(s): J.-A. Gawinecki
  • Journal Title: ZAMM Z. Angew. Math. Mech. 87 Pages: 715-746
  • Peer Reviewed
• [Journal Article] Obstacle and boundary determination from scattering data (2007)
  • Author(s): G. Nakamura
  • Journal Title: SIAM J. Math. Anal. 39 Pages: 819-837
  • Peer Reviewed
• [Journal Article] A probe method for the inverse boundary value problem of non-stationary heat equations (2007)
  • Author(s): Y. Daido
  • Journal Title: Inverse Problems 23 Pages: 1787-1800
  • Peer Reviewed
• [Journal Article] Variational approach for identifying a coefficient of the wave equation (2007)
  • Author(s): C. Choi
  • Journal Title: Cubo 9 Pages: 291-301
  • Peer Reviewed
• [Journal Article] A variational approach for an inverse dynamical problem for composite beams (2007)
  • Author(s): A. Morassi
  • Journal Title: European J. Appl. Math. 18 Pages: 21-55
  • Peer Reviewed
• [Journal Article] Reconstruction of the shape and surface impedance from acoustic scattering data for an arbitrary cylinder (2007)
  • Author(s): J. J. Liu
  • Journal Title: SIAM J. Appl. Math. 67 Pages: 1124-1146
  • Peer Reviewed
• [Journal Article] A new approach and error analysis for reconstructing the scattered wave by the point source method (2007)
  • Author(s): J. J. Liu
  • Journal Title: J. Comput. Math. 25 Pages: 113-130
  • Peer Reviewed
• [Journal Article] Vanishing shear viscosity limit in the magnetohydrodynamic equations (2007)
  • Author(s): J. Fan
  • Journal Title: Comm. Math. Phys. 270 Pages: 691-708
  • Peer Reviewed
• [Journal Article] Three spheres inequalities for a two-dimensional elliptic system and its application (2007)
  • Author(s): C.-L. Lin
  • Journal Title: J. Differential Equations 232 Pages: 329-351
  • Peer Reviewed
• [Journal Article] Global existence of solutions for a reaction-diffusion system (2007)
  • Author(s): Y. Aoyagi
  • Journal Title: Differential and Integral Equations 20 Pages: 1321-1339
  • Peer Reviewed
• [Journal Article] A generalization of the weighted Strichartz estimates for the wave equations and an application to self-similar solutions (2007)
  • Author(s): J.Kato
  • Journal Title: Communications on pure and applied mathematics 60 Pages: 164-186
• [Journal Article] Non-relativistic Limit of a Dirac Polaron in Relativistic Quantum Electrodynamics (2006)
  • Author(s): A. Arai
  • Journal Title: Lett. Math. Phys. 77 Pages: 283-290
  • NAID: 120000960724
  • Peer Reviewed
• [Journal Article] On a decay property of solutions to the Haraux-Weissler equation (2006)
  • Author(s): R.Fukuizumi
  • Journal Title: Journal of Differential Equations 221 Pages: 134-142
• [Journal Article] Remarks on proofs of conservation laws for nonlinear Schrodinger equation (2006)
  • Author(s): T.Ozawa
  • Journal Title: Calculus of Variations and PDE 25 Pages: 403-408
• [Journal Article] Remarks on modified improved Boussinesq equations in one space dimension (2006)
  • Author(s): Y.Cho
  • Journal Title: Proceedings of the Royal Society A 462 Pages: 1949-1963
• [Journal Article] On the semi-relativistic Hartree type equation (2006)
  • Author(s): Y.Cho
  • Journal Title: SIAM Journal on Mathematical Analysis 38 Pages: 1060-1074
• [Journal Article] Global existence on nonlinear Schrodinger-IMBQ equations (2006)
  • Author(s): Y.Cho
  • Journal Title: Journal of Mathematics of Kyoto University 46 Pages: 535-552
• [Journal Article] Remarks on proofs of conservation laws for nonlinear schrodinger equation (2006)
  • Author(s): T.Ozawa
  • Journal Title: Calculus of Variations and PDE to appear
• [Journal Article] Endpoint Strichartz estimates and global solutions for the nonlinear Dirac equation (2005)
  • Author(s): S.Machihara
  • Journal Title: Journal of Functional Analysis 219 Pages: 1-20
• [Journal Article] Sharp asymptotic behavior of solutions to nonlinear Schrodinger equations with repulsive interactions (2005)
  • Author(s): N.Kita
  • Journal Title: Communications in Contemporary Mathematics 7 Pages: 167-176
• [Journal Article] Exponential decay of solutions to nonlinear elliptic equations with potentials (2005)
  • Author(s): R.Fukuizumi
  • Journal Title: Zeitschrift fur Angewandte Mathematik und Physik 56 Pages: 1000-1011
• [Journal Article] Analytic smoothing effect for solution to Schrodinger equations with nonlinearity of ihtegral type (2005)
  • Author(s): T.Ozawa
  • Journal Title: Osaka Journal of Mathematics 42 Pages: 737-750
• [Journal Article] On solutions of the wave equation with homogeneous Cauchy data (2004)
  • Author(s): J.Kato
  • Journal Title: Asymptotic Analysis 37 Pages: 93-107
• [Journal Article] Small global solutions for nonlinear Dirac equations (2004)
  • Author(s): S.Machihara
  • Journal Title: Differential and Integral Equations 17 Pages: 623-636
• [Journal Article] Weighted Strichartz estimates for the wave equation in even space dimensions (2004)
  • Author(s): J.Kato
  • Journal Title: Mathematische Zeitschrift 247 Pages: 747-764
• [Journal Article] Structure of Dirac matrices and invariants for nonlinear Dirac equations (2004)
  • Author(s): T.Ozawa
  • Journal Title: Differential and Integral Equations 17 Pages: 971-982
  • NAID: 120006456912
• [Journal Article] Smoothing effect and large time behavior of solutions to Schrodinger equations with nonlinearity of integral type (2004)
  • Author(s): T.Ozawa
  • Journal Title: Communications in Contemporary Mathematics 6 Pages: 681-703
• [Presentation] symptotic analysis for magnetic resonanceelastography (2009)
  • Author(s): 江渝, 中村玄, 藤原宏志
  • Organizer: 日本数学会2009年度年会
  • Place of Presentation: 東京大学
  • Year and Date: 2009-03-28
• [Presentation] Sobolev inequalities with symmetry (2009)
  • Author(s): 小澤徹
  • Organizer: Analyse Numerique et EDP
  • Place of Presentation: 南パリ大学、フランス
  • Year and Date: 2009-02-26
• [Presentation] Asymptotic Analysis for MRE (2009)
  • Author(s): Y. Jiang, G. Nakamura, H. Fujiwara
  • Organizer: 第10回北東数学解析研究会
  • Place of Presentation: 東北大学
  • Year and Date: 2009-02-17
• [Presentation] Non-Weyl representations of canonical commutation relations and mathematical theoryof time operators (2009)
  • Author(s): 新井朝雄
  • Organizer: International Conference on “Schroedinger Equations and Related Topics"
  • Place of Presentation: 東京大学
  • Year and Date: 2009-01-07
• [Presentation] Time operators in quantum field theory (2008)
  • Author(s): 新井朝雄
  • Organizer: 「スペクトル・散乱理論とその周辺」RIMS研究集会
  • Place of Presentation: 京都大学
  • Year and Date: 2008-12-03
• [Presentation] 非線型シュレディンガー方程式の数学的基礎 (2008)
  • Author(s): 小澤徹
  • Organizer: 九州大学非線型解析冬の学校
  • Place of Presentation: 九州大学
  • Year and Date: 2008-11-22
• [Presentation] 弱ヴァイル表現の-意性について (2008)
  • Author(s): 新井朝雄
  • Organizer: 「非可換解析とミクロ・マクロ双対性」RIMS研究集会
  • Place of Presentation: 京都大学
  • Year and Date: 2008-11-04
• [Presentation] Analytic smoothing effect for the nonlinear Schrodinger equations (2008)
  • Author(s): T. Ozawa
  • Organizer: 大韓数学会 Global KMS 特別講演
  • Place of Presentation: Korea
  • Year and Date: 2008-10-24
• [Presentation] Analytic smoothing effect for the nonlinear Sohr\"odinger equations (2008)
  • Author(s): 小澤徹
  • Organizer: 大韓数学会Global KMS特別講演
  • Place of Presentation: 済州島、韓国
  • Year and Date: 2008-10-24
• [Presentation] 正準交換関係の非ヴァイル型表現と時間作用素の理論 (2008)
  • Author(s): 新井朝雄
  • Organizer: 日本数学会秋季分科会特別講演
  • Place of Presentation: 東京工業大学
  • Year and Date: 2008-09-24
• [Presentation] 正準交換関係の非ヴァイル型表現と時間作用素の理論 (2008)
  • Author(s): 新井朝雄
  • Organizer: 日本数学会秋季分科会函数解析分科会特別講演
  • Place of Presentation: 東京工業大学
  • Year and Date: 2008-09-24
• [Presentation] シュレディンガー方程式とポワソンの和公式 (2008)
  • Author(s): 小澤徹
  • Organizer: 応用解析研究会
  • Place of Presentation: 早稲田大学
  • Year and Date: 2008-07-11
• [Presentation] Global existence and asymptotic behavior of solutions to theDirac equation of Hartree type (2008)
  • Author(s): 津田谷公利
  • Organizer: The Fifth World Congress of Nonlinear Analysts
  • Place of Presentation: Orlando, USA
  • Year and Date: 2008-07-04
• [Presentation] Scattering theory for the Dirac equation of Hartree type (2008)
  • Author(s): 津田谷 公利
  • Organizer: SNU-HU Joint Symposium of Mathematics
  • Place of Presentation: Seoul National University
  • Year and Date: 2008-01-25
• [Presentation] On the identification of a coefficient function in a nonlinear wave equation (2008)
  • Author(s): 渡邊道之, 中村玄, B. Kaltenbacher
  • Organizer: 日本数学会年会
  • Place of Presentation: 近畿大学
• [Presentation] Mathematical Data Analysis for MRE (2008)
  • Author(s): G. Nakamura, Jiang Yu
  • Organizer: The International Conference on Inverse Problems and its Applications
  • Place of Presentation: 復旦大学, 上海
• [Presentation] Mathematical Data Analysis for MRE (2008)
  • Author(s): G. Nakamura, Jiang Yu
  • Organizer: SIAM Conference on the Life Sciences
  • Place of Presentation: Montreal, Canada
• [Presentation] MREによる粘弾性係数同定に対する随伴数値解法 (2008)
  • Author(s): 江渝, 代田健二, 中村玄
  • Organizer: 第57回理論応用力学講演会
  • Place of Presentation: 日本学術会議
• [Presentation] Reconstruction schemes for inverse problems (2008)
  • Author(s): 中村 玄
  • Organizer: Mini-course in Inverse Problems
  • Place of Presentation: National Taiwan University
• [Presentation] On the identification of a coefficient function in a nonlinear wave equation (2008)
  • Author(s): 渡邉 道之
  • Organizer: 日本数学会2008年度年会
  • Place of Presentation: 近畿大学
• [Presentation] Reconstruction of an unknown inclusion by thermal imaging (2008)
  • Author(s): K. Kim
  • Organizer: 日本数学会2008年度年会
  • Place of Presentation: 近畿大学
• [Presentation] MREによる粘弾性係数同定に対する随伴解法 (2008)
  • Author(s): Y. Jiang
  • Organizer: 日本数学会2008年度年会
  • Place of Presentation: 近畿大学
• [Presentation] Numerical realization of probing type method for heat equations (2008)
  • Author(s): 大道 雄喜
  • Organizer: 日本数学会2008年度年会
  • Place of Presentation: 近畿大学
• [Presentation] Scattering theory for the Dirac equation of Hartree type (2007)
  • Author(s): 津田谷 公利
  • Organizer: Linear and Nonlinear Waves, No.5
  • Place of Presentation: ピアザ淡海
  • Year and Date: 2007-11-01
• [Presentation] 時間作用素のいくつかの側面について (2007)
  • Author(s): 新井 朝雄
  • Organizer: 京都大学数理解析研究所研究集会「非可換解析とミクロ・マクロ双対性」
  • Place of Presentation: 京都大学数理解析研究所
  • Year and Date: 2007-10-15
• [Presentation] 擬共形不変な非線型シュレディンガー方程式の波動作用素について (2007)
  • Author(s): 小澤 徹
  • Organizer: 日本応用数理学会2007年度年会(総合講演)
  • Place of Presentation: 北海道大学工学部
  • Year and Date: 2007-09-17
• [Presentation] Some aspects of time operators (2007)
  • Author(s): 新井 朝雄
  • Organizer: Lecture at Institut fur Theoretische Physik
  • Place of Presentation: Universitat Wien
  • Year and Date: 2007-06-18
• [Presentation] Some aspects of representations of a quantum group in a two-dimensional system with a singular gauge potential, (2007)
  • Author(s): 新井 朝雄
  • Organizer: The XVIth International Colloquium "Integrable" Systems and Quantum Symmetries
  • Place of Presentation: Czech Technical University
  • Year and Date: 2007-06-14
• [Presentation] Global existence and asymptotic behavior of solutions to the Dirac equation of Hartree type (2007)
  • Author(s): 津田谷 公利
  • Organizer: 第25回九州における偏微分方程式研究集会
  • Place of Presentation: 九州大学
  • Year and Date: 2007-01-28
• [Presentation] 擬共型不変な非線型シュレディンガー方程式の波動作用素 (2007)
  • Author(s): 小澤徹
  • Organizer: 応用数理学会年会総合講演
  • Place of Presentation: 北海道大学
• [Presentation] 非相対論的量子電磁力学の数理 (2007)
  • Author(s): 新井 朝雄
  • Organizer: 連続講義
  • Place of Presentation: 京都大学数理解析研究所
• [Presentation] 生体粘弾性率測定法の数理 (2007)
  • Author(s): 中村 玄
  • Organizer: 日本応用数理学会2007年度年会
  • Place of Presentation: 北海道大学工学部
• [Presentation] 非凸形状音響散乱体の同定 (2007)
  • Author(s): 中村 玄
  • Organizer: 日本応用数理学会2007年度年会
  • Place of Presentation: 北海道大学工学部
• [Presentation] Indentification of a non-convex obstacle for acoustical scattering (2007)
  • Author(s): 中村 玄
  • Organizer: 日本数学会2007年度秋季総合分科会
  • Place of Presentation: 東北大学
• [Presentation] MREによる弾性係数と粘性係数の同定法の数理 (2007)
  • Author(s): 中村 玄
  • Organizer: 日本数学会2007年度秋季総合分科会
  • Place of Presentation: 東北大学
• [Presentation] An inversion analysis for optical tomography (2007)
  • Author(s): 中村 玄
  • Organizer: Summer school on Inverse Problems in Radiative Transfer
  • Place of Presentation: University of Washington
• [Presentation] Schrodinger-improved Boussinesq system Asymptotic Analysis and Singularity (2005)
  • Author(s): T. Ozawa
  • Organizer: MSJ-IRI
  • Place of Presentation: 仙台
• [Book] 非線形シュレディンガー方程式の散乱理論 (2008)
  • Author(s): 小澤徹
  • Total Pages: 67
  • Publisher: 東北大学大学院理学研究科
• [Book] 量子統計力学の数理 (2008)
  • Author(s): 新井朝雄
  • Total Pages: 366
  • Publisher: 共立出版
• [Book] 物理の中の対称性 (2008)
  • Author(s): 新井朝雄
  • Total Pages: 308
  • Publisher: 日本評論社
• [Book] International Conference for the 25^<th> Anniversary of Viscosity Solution(GAKUTO International Series. Mathematical Sciences and Applications 30) (2008)
  • Author(s): Y. Giga, K. Ishii, T. Ozawa and N. Yamada
  • Total Pages: 255
  • Publisher: Gakkotosho Co.,Ltd.
• [Book] 量子現象の数理(朝倉物理学体系12) (2006)
  • Author(s): 新井朝雄
  • Total Pages: 535
  • Publisher: 朝倉書店
• [Book] Lectures on Nonlinear Dispersive Equations(GAKUTO International Series. Mathematical Sciences and Applications 27) (2006)
  • Author(s): T. Ozawa, F. Planchon, P. Raphael, Y. Tsutsumi and N. Tzvetkov
  • Total Pages: 176
  • Publisher: Gakkotosho Co., Ltd.
• [Book] Nonlinear Dispersive Equations(GAKUTO International Series. Mathematical Sciences and Applications 26) (2006)
  • Author(s): T. Ozawa and Y. Tsutsumi
  • Total Pages: 237
  • Publisher: Gakkotosho Co., Ltd
• [Book] Lectures on Nonlinear Dispersive Equations (2006)
  • Author(s): T.Ozawa
  • Total Pages: 176
  • Publisher: GAKUTO international series, Mathematical sciences and applications, GAKKOTOSHO
• [Book] 現代物理数学ハンドブック (2005)
  • Author(s): 新井朝雄
  • Total Pages: 707
  • Publisher: 朝倉書店