Local regularity for solutions to quasi-linear singular parabolic equations with anisotropic weights
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866910471284588544 |
|---|---|
| author | Miao, Changxing Zhao, Zhiwen |
| author_facet | Miao, Changxing Zhao, Zhiwen |
| contents | This paper develops a concise procedure for the study on local behavior of solutions to anisotropically weighted quasi-linear singular parabolic equations of $p$-Laplacian type, which is realized by improving the energy inequalities and applying intrinsic scaling factor to the De Giorgi truncation method. In particular, it also presents a new proof for local Hölder continuity of the solution in the unweighted case. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_02875 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Local regularity for solutions to quasi-linear singular parabolic equations with anisotropic weights Miao, Changxing Zhao, Zhiwen Analysis of PDEs This paper develops a concise procedure for the study on local behavior of solutions to anisotropically weighted quasi-linear singular parabolic equations of $p$-Laplacian type, which is realized by improving the energy inequalities and applying intrinsic scaling factor to the De Giorgi truncation method. In particular, it also presents a new proof for local Hölder continuity of the solution in the unweighted case. |
| title | Local regularity for solutions to quasi-linear singular parabolic equations with anisotropic weights |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2312.02875 |