MAMORU OKAMOTO

Last Updated :2025/06/04

Affiliations, Positions
Hiroshima University, Professor
E-mail
mokamotohiroshima-u.ac.jp
Other Contact Details
1-3-1 Kagamiyama, Higashi-Hiroshima, Hiroshima, Japan
TEL : (+81)82-424-7338 FAX : (+81)
Self-introduction
I am studying nonlinear dispersive equations with probabilistic effects.

Basic Information

Major Professional Backgrounds

  • 2025/04, Hiroshima University, Graduate School of Advanced Science and Engineering, Professor
  • 2020/04, 2025/03, Osaka University, Graduate School of Science Department of Mathematics, Associate Professor
  • 2014/04, 2020/03, Shinshu University,, Faculty of Engineering, Division of Mathematics and Physics, Assistant Professor
  • 2013/04, 2014/03, Kyoto University, Research Fellow of the Japan Society for the Promotion of Science (DC2)

Educational Backgrounds

  • Kyoto University, Graduate School of Science, Division of Mathematics and Mathematical Sciences, 2011/04, 2014/03
  • Kyoto University, Graduate School of Science, Division of Mathematics and Mathematical Sciences, 2009/04, 2011/03
  • Saitama University, Faculty of Science, Department of Mathematics, 2005/04, 2009/03

Academic Degrees

  • Doctor of Science, Kyoto University

Educational Activity

Course in Charge

  1. 2025, Liberal Arts Education Program1, 4Term, CalculusII
  2. 2025, Undergraduate Education, 2Term, Analysis A
  3. 2025, Undergraduate Education, 2Term, Exercises in Analysis A
  4. 2025, Undergraduate Education, 3Term, Probability and Mathematical Statistics C
  5. 2025, Undergraduate Education, First Semester, Special Study of Mathematics and Informatics for Graduation
  6. 2025, Undergraduate Education, Second Semester, Special Study of Mathematics and Informatics for Graduation

Research Activities

Academic Papers

  1. Norm inflation for a higher-order nonlinear Schr\"odinger equation with a derivative on the circle, Partial Differential Equations and Applications, 6(2), 20250312
    Link to Paper Search Results by DOI
  2. ★, Stochastic Quantization of the $\Phi^3_3$-Model, Memoirs of the European Mathematical Society, 20250205
    Link to Paper Search Results by DOI
  3. Well-Posedness for a System of Nonlinear Schr\"odinger Equations with Derivative Nonlinearity via the Energy Method, Trends in Mathematics, 147-164, 20250130
    Link to Paper Search Results by DOI
  4. ★, Focusing $\Phi^4_3$-model with a Hartree-type Nonlinearity, Memoirs of the American Mathematical Society, 304(1529), 20241210
    Link to Paper Search Results by DOI
  5. A remark on randomization of a general function of negative regularity, Proceedings of the American Mathematical Society, Series B, 11(47), 538-554, 20241018
    Link to Paper Search Results by DOI
  6. Uniqueness and non-uniqueness of the Gaussian free field evolution under the two-dimensional Wick ordered cubic wave equation, Annales de l'Institut Henri Poincar\'e, Probabilit\'es et Statistiques, 60(3), 20240801
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  7. On the local linearization of the one-dimensional stochastic wave equation with a multiplicative space-time white noise forcing, Proceedings of the American Mathematical Society, Series B, 11(34), 378-389, 20240711
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  8. Norm inflation for the viscous nonlinear wave equation, Nonlinear Differential Equations and Applications, 31(4), 202407
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  9. Sharp well-posedness for the Cauchy problem of the two dimensional quadratic nonlinear Schr\"odinger equation with angular regularity, Journal of Differential Equations, 395, 181-222, 20240625
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  10. A REMARK ON THE WELL-POSEDNESS FOR A SYSTEM OF QUADRATIC DERIVATIVE NONLINEAR SCHR\"ODINGER EQUATIONS, COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 202206
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  11. Long-time behavior of solutions to a fourth-order nonlinear Schr\"odinger equation with critical nonlinearity, JOURNAL OF EVOLUTION EQUATIONS, 202108
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  12. Well-posedness for a system of quadratic derivative nonlinear Schr\"odinger equations in almost critical spaces, JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 499(2), 202107
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  13. Comparing the stochastic nonlinear wave and heat equations: a case study, Electronic Journal of Probability, 26(none), 20210101
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  14. Random data Cauchy problem for the quadratic nonlinear Schr\"odinger equation without gauge invariance, Advanced Studies in Pure Mathematics, 85, 337-347, 202012
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  15. A remark on norm inflation for nonlinear wave equations, Dynamics of Partial Differential Equations, 17(4), 361-381, 202011
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  16. A remark on triviality for the two-dimensional stochastic nonlinear wave equation, STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 130(9), 5838-5864, 202009
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  17. Well-posedness for KdV-type equations with quadratic nonlinearity, JOURNAL OF EVOLUTION EQUATIONS, 20(3), 811-835, 202009
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  18. Well-Posedness for a System of Quadratic Derivative Nonlinear Schr\"odinger Equations with Radial Initial Data, ANNALES HENRI POINCARE, 21(8), 2611-2636, 202008
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  19. Scattering for the one-dimensional Klein–Gordon equation with exponential nonlinearity, Journal of Hyperbolic Differential Equations, 17(02), 295-354, 202006
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  20. Sharp ill-posedness of the Dirac-Klein-Gordon system in one dimension, NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 192, 202003
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  21. On the stochastic nonlinear Schr\"odinger equations at critical regularities, STOCHASTICS AND PARTIAL DIFFERENTIAL EQUATIONS-ANALYSIS AND COMPUTATIONS, 202001
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  22. FINAL STATE PROBLEM FOR THE NONLOCAL NONLINEAR SCHR\"ODINGER EQUATION WITH DISSIPATIVE NONLINEARITY, DIFFERENTIAL EQUATIONS & APPLICATIONS, 11(4), 481-494, 201911
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  23. ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO A HIGHER-ORDER KDV-TYPE EQUATION WITH CRITICAL NONLINEARITY, EVOLUTION EQUATIONS AND CONTROL THEORY, 8(3), 567-601, 201909
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  24. L^p-L^q ESTIMATES FOR THE DAMPED WAVE EQUATION AND THE CRITICAL EXPONENT FOR THE NONLINEAR PROBLEM WITH SLOWLY DECAYING DATA, COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 18(4), 1967-2008, 201907
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  25. ON THE PROBABILISTIC WELL-POSEDNESS OF THE NONLINEAR SCHR\"ODINGER EQUATIONS WITH NON-ALGEBRAIC NONLINEARITIES, DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 39(6), 3479-3520, 201906
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  26. Remarks on the probabilistic well-posedness for quadratic nonlinear Schr\"odinger equations, RIMS Kôkyûroku Bessatsu, B74, 47-64, 201904
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  27. LONG-TIME BEHAVIOR OF SOLUTIONS TO THE FIFTH-ORDER MODIFIED KDV-TYPE EQUATION, ADVANCES IN DIFFERENTIAL EQUATIONS, 23(9-10), 751-792, 201809
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  28. On the cubic Dirac equation with potential and the Lochak-Majorana condition, JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 456(2), 1203-1237, 201712
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  29. Well-posedness for the dimension-reduced Chern-Simons-Dirac system, JOURNAL OF EVOLUTION EQUATIONS, 17(3), 1031-1048, 201709
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  30. Large time asymptotics of solutions to the short-pulse equation, NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 24(4), -, 201708
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  31. Norm inflation for the generalized Boussinesq and Kawahara equations, NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 157, 44-61, 201707
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  32. RANDOM DATA CAUCHY PROBLEM FOR THE NONLINEAR SCHR\"ODINGER EQUATION WITH DERIVATIVE NONLINEARITY, DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 36(12), 6943-6974, 201612
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  33. Well-posedness for a quadratic derivative nonlinear Schr\"odinger system at the critical regularity, JOURNAL OF FUNCTIONAL ANALYSIS, 271(4), 747-798, 201608
    Link to Paper Search Results by DOI
  34. BLOWUP AND ILL-POSEDNESS RESULTS FOR A DIRAC EQUATION WITHOUT GAUGE INVARIANCE, EVOLUTION EQUATIONS AND CONTROL THEORY, 5(2), 225-234, 201606
    Link to Paper Search Results by DOI
  35. WELL-POSEDNESS AND ILL-POSEDNESS OF THE CAUCHY PROBLEM FOR THE GENERALIZED THIRRING MODEL, DIFFERENTIAL AND INTEGRAL EQUATIONS, 29(5-6), 401-420, 201605
    Link to Paper Search Results by DOI
  36. WELL-POSEDNESS AND SCATTERING FOR FOURTH ORDER NONLINEAR SCHR\"ODINGER TYPE EQUATIONS AT THE SCALING CRITICAL REGULARITY, COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 15(3), 831-851, 201605
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  37. ★, Sharp Well-Posedness and Ill-Posedness for the Chern-Simons-Dirac System in One Dimension, INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 1640-1694, 2016
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  38. Remarks on ill-posedness for the Dirac-Klein-Gordon system, DYNAMICS OF PARTIAL DIFFERENTIAL EQUATIONS, 13(3), 179-190, 2016
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  39. Ill-posedness of the Cauchy problem for the Chem-Simons-Dirac system in one dimension, JOURNAL OF DIFFERENTIAL EQUATIONS, 258(4), 1356-1394, 201502
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  40. Well-posedness of the Cauchy problem for the Maxwell-Dirac system in one space dimension, NONLINEAR DYNAMICS IN PARTIAL DIFFERENTIAL EQUATIONS, 64, 497-505, 2015
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  41. WELL-POSEDNESS OF THE CAUCHY PROBLEM FOR THE CHERN-SIMONS-DIRAC SYSTEM IN TWO DIMENSIONS, JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS, 10(4), 735-771, 201312
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  42. WELL-POSEDNESS AND ILL-POSEDNESS OF THE CAUCHY PROBLEM FOR THE MAXWELL DIRAC SYSTEM IN 1+1 SPACE TIME DIMENSIONS, ADVANCES IN DIFFERENTIAL EQUATIONS, 18(1-2), 179-199, 201301
    Link to Paper Search Results by DOI

Invited Lecture, Oral Presentation, Poster Presentation

  1. Well- and ill-posedness of the Cauchy problem for a system of periodic quadratic derivative NLS, Mamoru Okamoto, Asia-Pacific International Conference on Dispersive Equations, 2024/10/31, With Invitation
  2. On the stochastic quantization of the $\Phi^3_3$-model, Mamoru Okamoto, Harmonic and Stochastic Analysis of Dispersive PDEs, 2024/06/07, With Invitation
  3. On the solutions to the two-dimensional Wick ordered nonlinear Klein-Gordon equation, Mamoru Okamoto, The 41th Kyushu Symposium on Partial Differential Equations, 2024/01/24, With Invitation
  4. Uniqueness of the Gaussian free field evolution under the Wick ordered nonlinear Klein-Gordon equation, Mamoru Okamoto, New trends in nonlinear dispersive equations, 2024/01/18, With Invitation
  5. Stochastic quantization of the $\Phi^3_3$-model, Mamoru Okamoto, Nonlinear and Random Waves, 2022/10/03, With Invitation
  6. On the $\Phi^3_3$ measure, Mamoru Okamoto, the 42nd conference on Stochastic Processes and their Applications, 2022/06/30, With Invitation
  7. Stochastic quantization of the $\Phi^3_3$-model, Mamoru Okamoto, Rigorous statistical mechanics and related topics, 2021/11/17, With Invitation
  8. Almost sure global well-posedness for the focusing nonlinear wave equation with a Hartree-type nonlinearity, Mamoru Okamoto, Oberseminar Analysis, 2021/01/08, With Invitation, Universitat Bielefeld
  9. On the critical exponent for the damped nonlinear wave equation with slowly decaying data, Mamoru Okamoto, Analysis Seminar, 2019/07/11, With Invitation
  10. On the damped nonlinear wave equation with slowly decaying data, Mamoru Okamoto, UK Network on Hyperbolic Equations and Related Topics, 2019/05/16, With Invitation
  11. On the energy critical nonlinear Schrodinger equations with randomized initial data, Mamoru Okamoto, Stochastic partial differential equations and related topics, 2018/07/26, With Invitation
  12. Random data Cauchy problem for the energy-critical nonlinear Schrodinger equations, Mamoru Okamoto, The 11th Mathematical Society of Japan Seasonal Institute, 2018/07/03, With Invitation
  13. Random data Cauchy problem for the energy-critical nonlinear Schrodinger equations, Mamoru Okamoto, Harmonic Analysis and Nonlinear Partial Differential Equations, 2018/06/26, With Invitation
  14. Random data Cauchy problem for the energy critical nonlinear Schrodinger equations, Mamoru Okamoto, Nonlinear Dispersive Equations in Kumamoto, 2018/01/21, With Invitation
  15. Asymptotic behavior of solutions to the short-pulse equation, Mamoru Okamoto, Analysis Seminar, 2017/09/25, With Invitation
  16. Asymptotic behavior of solutions to the short-pulse equation, Mamoru Okamoto, The 5th East Asian Conference in Harmonic Analysis and Applications, 2017/06/10, With Invitation
  17. Sharp well-posedness and ill-posedness for the Chern-Simons-Dirac system in one dimension, Mamoru Okamoto, Harmonic Analysis and Partial Differential Equations, 2015/07/27, Without Invitation
  18. Sharp well-posedness for the Chern-Simons-Dirac system in one dimension, Mamoru Okamoto, The 39th Sapporo Symposium on Partial Differential Equations, 2014/08/25, With Invitation
  19. On the Cauchy problem of the generalized Thirring equations, Mamoru Okamoto, Seminar in Mathematics, 2014/03/27, With Invitation
  20. Well-posedness and ill-posedness for a system for the Chern-Simons-Dirac system in one dimension, Mamoru Okamoto, Critical exponents and nonlinear evolution equations, 2014/02/10, With Invitation
  21. Ill-posedness for the Chern-Simons-Dirac system in one dimension, Mamoru Okamoto, Nonlinear Dispersive Equations and Harmonic Analysis, 2014/01/14, With Invitation
  22. Ill-posedness of the Cauchy problem for the Chern-Simons-Dirac system in one dimension, Mamoru Okamoto, Seminar in nonlinear PDE center, 2013/11/13, With Invitation
  23. Well-posedness for the Chern-Simons-Dirac system in two dimensions, Mamoru Okamoto, Nonlinear Dispersive Equations and Related Topics, 2013/07/03, With Invitation
  24. Well-posedness for the Chern-Simons-Dirac system, Mamoru Okamoto, Kyoto RIMS-SNU workshop, 2013/02/18, Without Invitation
  25. Well-posedness for the Chern-Simons-Dirac system in two dimensions, Mamoru Okamoto, Doctoral Forum of Mathematics between Fudan and Kyoto Universities, 2012/12/08, Without Invitation
  26. Well-posedness and ill-posedness of the Cauchy problem for the Maxwell-Dirac system in 1+1 space time dimensions, Mamoru Okamoto, Nonlinear Wave and Dispersive Equations, 2012/03/08, With Invitation
  27. Well-posedness of the Maxwell-Dirac system in 1+1 space time dimensions, Mamoru Okamoto, Doctoral Forum of Mathematics between Fudan and Kyoto Universities, 2011/10/31, Without Invitation
  28. Well-posedness of the Maxwell-Dirac system in 1+1 space time dimensions, Mamoru Okamoto, the 4th MSJ-SI, 2011/09/20, Without Invitation
  29. Well-posedness of the Maxwell-Dirac system in 1+1 space time dimensions, Mamoru Okamoto, Mathematical Analysis in Fluid and Gas Dynamics, 2011/07/08, With Invitation
  30. Well-posedness of the Maxwell-Dirac system in 1+1 space time dimensions, Mamoru Okamoto, Doctorial Forum Fudan-Kyoto, 2011/03/14, Without Invitation

Social Activities

History as Committee Members

  1. Organizer, 2025/04, Hiroshima Mathematical Analysis Seminar
  2. Editor, 2025/04, Hiroshima Mathematical Journal