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math.AP2025
Quantitative homogenization of convex Hamilton-Jacobi equations with -periodic Hamiltonians
Hiroyoshi Mitake, Panrui Ni, Hung V. Tran
Here, we study quantitative homogenization of first-order convex Hamilton-Jacobi equations with -periodic Hamiltonians which typically appear in dislocation dynami…
math.AP2025
Quantitative homogenization of convex Hamilton-Jacobi equations with Neumann type boundary conditions
Hiroyoshi Mitake, Panrui Ni
We study the periodic homogenization for convex Hamilton-Jacobi equations on perforated domains under the Neumann type boundary conditions. We consider two types of conditions, the…