2 papers
math.AP2026
Quantitative homogenization for obstacle problems of convex Hamilton-Jacobi equations
Takuya Sato, Jingcheng Ye
We study the homogenization for obstacle problems of convex Hamilton-Jacobi equations in periodic media with obstacle functions depending on both macroscopic and microscopic spatia…
math.AP2025
A game approach to free boundary problems of anisotropic forced mean curvature flow equations
Takuya Sato
We consider the free boundary problems of degenerate elliptic equations that describe the level set formulation of the interface motion evolved by anisotropic forced mean curvature…