On two notions of solutions to the obstacle problem for the singular porous medium equation
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866914774624763904 |
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| author | Moring, Kristian Scheven, Christoph |
| author_facet | Moring, Kristian Scheven, Christoph |
| contents | We show that two different notions of solutions to the obstacle problem for the porous medium equation, a potential theoretic notion and a notion based on a variational inequality, coincide for regular enough compactly supported obstacles. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_07166 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On two notions of solutions to the obstacle problem for the singular porous medium equation Moring, Kristian Scheven, Christoph Analysis of PDEs 35B51, 35D30, 35K67, 35K86 We show that two different notions of solutions to the obstacle problem for the porous medium equation, a potential theoretic notion and a notion based on a variational inequality, coincide for regular enough compactly supported obstacles. |
| title | On two notions of solutions to the obstacle problem for the singular porous medium equation |
| topic | Analysis of PDEs 35B51, 35D30, 35K67, 35K86 |
| url | https://arxiv.org/abs/2306.07166 |