Optimal semiconcavity with fractional modulus for Hamilton-Jacobi equations with Neumann boundary conditions
Analysis of PDEs
2026-05-25 v1 Optimization and Control
Abstract
Here, we study the generalized semiconcavity property of viscosity solutions of the Neumann boundary value problem for Hamilton-Jacobi equations. In particular, we establish the global semiconcavity with a fractional modulus by investigating a regularity property of solutions to the Skorokhod problem, and show the optimality of the fractional exponent.
Keywords
Cite
@article{arxiv.2605.23248,
title = {Optimal semiconcavity with fractional modulus for Hamilton-Jacobi equations with Neumann boundary conditions},
author = {Hiroyoshi Mitake and Panrui Ni},
journal= {arXiv preprint arXiv:2605.23248},
year = {2026}
}
Comments
37 pages, 1 figure