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math.AP2018
Existence of asymptotic speed of solutions to birth and spread type nonlinear partial differential equations
Yoshikazu Giga, Hiroyoshi Mitake, Takeshi Ohtsuka +1
In this paper, we prove the existence of asymptotic speed of solutions to fully nonlinear, possibly degenerate parabolic partial differential equations in a general setting. We the…
math.AP2018
On uniqueness sets of additive eigenvalue problems and applications
Hiroyoshi Mitake, Hung V. Tran
In this paper, we provide a simple way to find uniqueness sets for additive eigenvalue problems of first and second order Hamilton--Jacobi equations by using a PDE approach. An app…
math.AP2018★ 1 cited
Rate of convergence in periodic homogenization of Hamilton-Jacobi equations: the convex setting
Hiroyoshi Mitake, Hung V. Tran, Yifeng Yu
We study the rate of convergence of , as , to in periodic homogenization of Hamilton-Jacobi equations. Here, and are viscosity solutions to the oscillat…