Hamilton type gradient estimates for a general type of nonlinear parabolic equations on Riemannian manifolds
| Autor: | Fanqi Zeng |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: | |
| Zdroj: | AIMS Mathematics, Vol 6, Iss 10, Pp 10506-10522 (2021) |
| Druh dokumentu: | article |
| ISSN: | 2473-6988 |
| DOI: | 10.3934/math.2021610?viewType=HTML |
| Popis: | $ (\Delta_{V}-q(x, t)-\partial_{t})u(x, t) = A(u(x, t)) $ on complete Riemannian manifold (with fixed metric). When $ V = 0 $ and the metric evolves under the geometric flow, we also derive some Hamilton type gradient estimates. Finally, as applications, we obtain some Liouville type theorems of some specific parabolic equations. |
| Databáze: | Directory of Open Access Journals |
| Externí odkaz: |
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