Hölder regularity for degenerate parabolic double-phase equations
Fuente:
arXiv
Guardado en:
| Autores principales: | , , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2024
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866910809244827648 |
|---|---|
| author | Kim, Wontae Moring, Kristian Särkiö, Lauri |
| author_facet | Kim, Wontae Moring, Kristian Särkiö, Lauri |
| contents | We prove that bounded weak solutions to degenerate parabolic double-phase equations of $p$-Laplace type are locally Hölder continuous. The proof is based on phase analysis and methods for the $p$-Laplace equation. In particular, the phase analysis determines whether the double-phase equation is locally similar to the $p$-Laplace or the $q$-Laplace equation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_19111 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Hölder regularity for degenerate parabolic double-phase equations Kim, Wontae Moring, Kristian Särkiö, Lauri Analysis of PDEs 35D30, 35K65, 35K92 We prove that bounded weak solutions to degenerate parabolic double-phase equations of $p$-Laplace type are locally Hölder continuous. The proof is based on phase analysis and methods for the $p$-Laplace equation. In particular, the phase analysis determines whether the double-phase equation is locally similar to the $p$-Laplace or the $q$-Laplace equation. |
| title | Hölder regularity for degenerate parabolic double-phase equations |
| topic | Analysis of PDEs 35D30, 35K65, 35K92 |
| url | https://arxiv.org/abs/2404.19111 |