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math.AP2025
On the Gromov--Hausdorff stability of metric viscosity solutions
Shimpei Makida
We establish the stability of metric viscosity solutions to first-order Hamilton--Jacobi equations under Gromov--Hausdorff convergence. Our proof combines a characterization of met…
math.AP2023
Stability of metric viscosity solutions under Hausdorff convergence
Shimpei Makida, Atsushi Nakayasu
This study investigated the stability of Hamilton--Jacobi equation on general metric spaces with a perturbation in some whole space. This type of stability appears in the domain pe…