Partial regularity for degenerate parabolic systems with general growth via caloric approximations
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866910450166267904 |
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| author | Ok, Jihoon Scilla, Giovanni Stroffolini, Bianca |
| author_facet | Ok, Jihoon Scilla, Giovanni Stroffolini, Bianca |
| contents | We establish a partial regularity result for solutions of parabolic systems with general $φ$-growth, where $φ$ is an Orlicz function. In this setting we can develop a unified approach that is independent of the degeneracy of system and relies on two caloric approximation results: the $φ$-caloric approximation, which was introduced in Diening, Schwarzacher, Stroffolini and Verde (2017) (arXiv:1606.01706), and an improved version of the \mathcal{A}-caloric approximation, which we prove without using the classical compactness method. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_14779 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Partial regularity for degenerate parabolic systems with general growth via caloric approximations Ok, Jihoon Scilla, Giovanni Stroffolini, Bianca Analysis of PDEs 5K40, 35B65, 35K92, 46E30 We establish a partial regularity result for solutions of parabolic systems with general $φ$-growth, where $φ$ is an Orlicz function. In this setting we can develop a unified approach that is independent of the degeneracy of system and relies on two caloric approximation results: the $φ$-caloric approximation, which was introduced in Diening, Schwarzacher, Stroffolini and Verde (2017) (arXiv:1606.01706), and an improved version of the \mathcal{A}-caloric approximation, which we prove without using the classical compactness method. |
| title | Partial regularity for degenerate parabolic systems with general growth via caloric approximations |
| topic | Analysis of PDEs 5K40, 35B65, 35K92, 46E30 |
| url | https://arxiv.org/abs/2307.14779 |