Trudinger's Parabolic Equation
Fuente:
arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866910194946015232 |
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| author | Lindqvist, Peter Parviainen, Mikko Sarsa, Saara |
| author_facet | Lindqvist, Peter Parviainen, Mikko Sarsa, Saara |
| contents | We study the uniqueness of non-negative solutions of the equation \begin{align*}
\partial_t\left(|u|^{p-2}u\right)\,=\, \operatorname{div}(|\nabla u|^{p-2}\nabla u).
\end{align*} Basic estimates are derived with the Galerkin Method. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_08716 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Trudinger's Parabolic Equation Lindqvist, Peter Parviainen, Mikko Sarsa, Saara Analysis of PDEs 35A02, 35K65, 35K55 We study the uniqueness of non-negative solutions of the equation \begin{align*} \partial_t\left(|u|^{p-2}u\right)\,=\, \operatorname{div}(|\nabla u|^{p-2}\nabla u). \end{align*} Basic estimates are derived with the Galerkin Method. |
| title | Trudinger's Parabolic Equation |
| topic | Analysis of PDEs 35A02, 35K65, 35K55 |
| url | https://arxiv.org/abs/2508.08716 |