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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2401.10597 |
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| _version_ | 1866918353911676928 |
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| author | Seis, Christian Winkler, Dominik |
| author_facet | Seis, Christian Winkler, Dominik |
| contents | In this note, we investigate a doubly nonlinear diffusion equation in the slow diffusion regime. We prove stability of the pressure of solutions that are close to traveling wave solutions in a homogeneous Lipschitz sense. We derive regularity estimates for arbitrary derivatives of the solution's pressure by extending existing results for the porous medium equation (Ref. 15). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_10597 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Stability of traveling waves for doubly nonlinear equations Seis, Christian Winkler, Dominik Analysis of PDEs In this note, we investigate a doubly nonlinear diffusion equation in the slow diffusion regime. We prove stability of the pressure of solutions that are close to traveling wave solutions in a homogeneous Lipschitz sense. We derive regularity estimates for arbitrary derivatives of the solution's pressure by extending existing results for the porous medium equation (Ref. 15). |
| title | Stability of traveling waves for doubly nonlinear equations |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2401.10597 |