Optimal semiconcavity with fractional modulus for Hamilton-Jacobi equations with Neumann boundary conditions
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866918518053666816 |
|---|---|
| author | Mitake, Hiroyoshi Ni, Panrui |
| author_facet | Mitake, Hiroyoshi Ni, Panrui |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_23248 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Optimal semiconcavity with fractional modulus for Hamilton-Jacobi equations with Neumann boundary conditions Mitake, Hiroyoshi Ni, Panrui Analysis of PDEs Optimization and Control 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. |
| title | Optimal semiconcavity with fractional modulus for Hamilton-Jacobi equations with Neumann boundary conditions |
| topic | Analysis of PDEs Optimization and Control |
| url | https://arxiv.org/abs/2605.23248 |