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math.AP2024
Rate of convergence for homogenization of nonlinear weakly coupled Hamilton-Jacobi systems
Hiroyoshi Mitake, Panrui Ni
Here, we study the periodic homogenization problem of nonlinear weakly coupled systems of Hamilton-Jacobi equations in the convex setting. We establish a rate of convergence $O(\sq…
math.AP2024
On equivalence of entropy and viscosity solutions to degenerate parabolic equations and applications
Hiroyoshi Mitake, Hiroshi Watanabe
Here, we consider anisotropic degenerate parabolic-hyperbolic equations and degenerate quasilinear Hamilton-Jacobi equations. We prove the equivalence of two notions of entropy and…