Boundary Hölder gradient estimates for fully nonlinear degenerate or singular parabolic equations
Fuente:
arXiv
Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Preprint |
| Publié: |
2025
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866908554312548352 |
|---|---|
| author | Yun, Hyungsung |
| author_facet | Yun, Hyungsung |
| contents | We study boundary regularity of viscosity solutions to fully nonlinear degenerate or singular parabolic equations. The gradient-dependent degeneracy or singularity, along with the time derivative, introduces significant challenges beyond the elliptic case. By combining compactness methods, barrier constructions, regularization techniques, and the boundary regularity of small perturbation solutions, we establish boundary Hölder gradient estimates that unify and extend previous results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_16613 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Boundary Hölder gradient estimates for fully nonlinear degenerate or singular parabolic equations Yun, Hyungsung Analysis of PDEs 35B65, 35D40, 35K65, 35K67 We study boundary regularity of viscosity solutions to fully nonlinear degenerate or singular parabolic equations. The gradient-dependent degeneracy or singularity, along with the time derivative, introduces significant challenges beyond the elliptic case. By combining compactness methods, barrier constructions, regularization techniques, and the boundary regularity of small perturbation solutions, we establish boundary Hölder gradient estimates that unify and extend previous results. |
| title | Boundary Hölder gradient estimates for fully nonlinear degenerate or singular parabolic equations |
| topic | Analysis of PDEs 35B65, 35D40, 35K65, 35K67 |
| url | https://arxiv.org/abs/2509.16613 |