H
Hiroyoshi Mitake
Researcher at University of Tokyo
Publications - 84
Citations - 1101
Hiroyoshi Mitake is an academic researcher from University of Tokyo. The author has contributed to research in topics: Hamilton–Jacobi equation & Nonlinear system. The author has an hindex of 20, co-authored 80 publications receiving 1002 citations. Previous affiliations of Hiroyoshi Mitake include Fukuoka University & Hiroshima University.
Papers
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Existence for stationary mean-field games with congestion and quadratic Hamiltonians
Diogo A. Gomes,Hiroyoshi Mitake +1 more
TL;DR: In this paper, the existence of smooth solutions to a stationary mean-field game model with a quadratic Hamiltonian and congestion effects has been proved using a new class of a priori bounds, combined with the continuation method.
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Representation formulas for solutions of Hamilton-Jacobi equations with convex Hamiltonians
Hitoshi Ishii,Hiroyoshi Mitake +1 more
TL;DR: In this paper, the authors established general representation formulas for solu- tions of Hamilton-Jacobi equations with convex Hamiltonians and introduced a notion of ideal boundary similar to the Martin boundary for po- tential theory.
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Selection problems for a discount degenerate viscous Hamilton–Jacobi equation
Hiroyoshi Mitake,Hung V. Tran +1 more
TL;DR: In this article, it was shown that the solution of the discounted approximation of a degenerate viscous Hamilton-Jacobi equation with convex Hamiltonians converges to the corresponding ergodic problem.
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Asymptotic Solutions of Hamilton-Jacobi Equations with State Constraints
TL;DR: In this article, a general convergence result for viscosity solutions of the Cauchy problem for Hamilton-Jacobi equations with the state constraint boundary condition was established for asymptotic solutions as time goes to infinity.
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A new method for large time behavior of degenerate viscous Hamilton-Jacobi equations with convex Hamiltonians
TL;DR: In this paper, the authors investigated large-time asymptotics for viscous Hamilton-Jacobi equations with possibly degenerate diffusion terms and established new results on the convergence, which are the first general ones concerning equations which are neither uniformly parabolic nor first order.