MITAKE, Hiroyoshi
>personal home page
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Title
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Associate Professor |
Field
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Partial Differential Equation |
Research interests
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Viscosity solution approach to asymptotic problems in front propagation, dynamical system and related topics |
Current research
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The main subject of my research is nonlinear Partial Differential Equations (PDEs), and in particular I focus on the study of PDEs appearing in optimal control theory, differential game, mean field game, and geometric flow. More specifically, I have worked on Hamilon-Jacobi- Bellman equations, mean curvature equations, the system of HJB equations and Fokker-Planck equations, and related nonlinear PDEs, and got some of fundamental results in mathematical science. In particular, I am interested in several connections between PDEs and other fields. For instance, I have established a connection between stochastic optimal control and PDEs in terms of weak Kolmogorov-Arnold-Mose theory. Also, I am working on problems related to crystal growth and mean field games. |
Selected publications
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Books
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N. Q. Le, H. Mitake, H. V. Tran, Dynamical and Geometric Aspects of Hamilton-Jacobi and Linearized Monge- Ampere Equations, Springer, Lecture Notes in Mathematics, 2183. Springer, Cham, 2017. |
Memberships
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The Mathematical Society of Japan |
Awards
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MSJ Takebe Katahiro Prize for Encouragement of Young Researchers 2011 |