Regularity of Supersolutions
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866929722452082688 |
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| author | Lindqvist, Peter |
| author_facet | Lindqvist, Peter |
| contents | The regularity for the supersolutions of the Evolutionary p-Laplace Equation is considered. In particular,the equivalence of viscosity supersolutions and p-supercaloric functions (lower semicontinuous supersolutions defined via a comparison principle) is considered. Bounded viscosity supersolutions are, in fact, weak supersolutions belonging to a natural Sobolev Space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_14577 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Regularity of Supersolutions Lindqvist, Peter Analysis of PDEs The regularity for the supersolutions of the Evolutionary p-Laplace Equation is considered. In particular,the equivalence of viscosity supersolutions and p-supercaloric functions (lower semicontinuous supersolutions defined via a comparison principle) is considered. Bounded viscosity supersolutions are, in fact, weak supersolutions belonging to a natural Sobolev Space. |
| title | Regularity of Supersolutions |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2502.14577 |