Long time upper bounds for solutions of Leibenson's equation on Riemannian manifolds
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866913062255067136 |
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| author | Sürig, Philipp |
| author_facet | Sürig, Philipp |
| contents | We consider on Riemannian manifolds the Leibenson equation $$\partial _{t}u=Δ_{p}u^{q}.$$ We prove that a certain upper bound for weak solutions of this equation is equivalent to a euclidean-type Sobolev inequality. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_23227 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Long time upper bounds for solutions of Leibenson's equation on Riemannian manifolds Sürig, Philipp Analysis of PDEs Differential Geometry 35K55, 58J35, 35K92 We consider on Riemannian manifolds the Leibenson equation $$\partial _{t}u=Δ_{p}u^{q}.$$ We prove that a certain upper bound for weak solutions of this equation is equivalent to a euclidean-type Sobolev inequality. |
| title | Long time upper bounds for solutions of Leibenson's equation on Riemannian manifolds |
| topic | Analysis of PDEs Differential Geometry 35K55, 58J35, 35K92 |
| url | https://arxiv.org/abs/2604.23227 |