MITAKE, Hiroyoshi
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Title

Associate Professor 
Field

Partial Differential Equation 
Research interests

Viscosity solution approach to asymptotic problems in front propagation, dynamical system and related topics 
Current research

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 HamilonJacobi Bellman equations, mean curvature equations, the system of HJB equations and FokkerPlanck 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 KolmogorovArnoldMose theory. Also, I am working on problems related to crystal growth and mean field games. 
Selected publications


Books

N. Q. Le, H. Mitake, H. V. Tran, Dynamical and Geometric Aspects of HamiltonJacobi and Linearized Monge Ampere Equations, Springer, Lecture Notes in Mathematics, 2183. Springer, Cham, 2017. 
Memberships

The Mathematical Society of Japan 
Awards

MSJ Takebe Katahiro Prize for Encouragement of Young Researchers 2011 