Very weak solutions to degenerate parabolic double-phase systems
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866914205438836736 |
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| author | Kim, Wontae Särkiö, Lauri |
| author_facet | Kim, Wontae Särkiö, Lauri |
| contents | We prove a local self-improving property for the gradient of very weak solutions to degenerate parabolic double-phase systems. The result is based on a reverse Hölder inequality with constants that are independent of the solution. Delicate methods are required to avoid a self-referential argument. In particular, we develop a new phase analysis method. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_15255 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Very weak solutions to degenerate parabolic double-phase systems Kim, Wontae Särkiö, Lauri Analysis of PDEs We prove a local self-improving property for the gradient of very weak solutions to degenerate parabolic double-phase systems. The result is based on a reverse Hölder inequality with constants that are independent of the solution. Delicate methods are required to avoid a self-referential argument. In particular, we develop a new phase analysis method. |
| title | Very weak solutions to degenerate parabolic double-phase systems |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2512.15255 |