| Autor: |
Daniele Castorina, Giovanni Catino, Carlo Mantegazza |
| Jazyk: |
angličtina |
| Rok vydání: |
2022 |
| Předmět: |
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| Zdroj: |
Mathematics in Engineering, Vol 4, Iss 1, Pp 1-15 (2022) |
| Druh dokumentu: |
article |
| ISSN: |
2640-3501 |
| DOI: |
10.3934/mine.2022002?viewType=HTML |
| Popis: |
We show a triviality result for "pointwise" monotone in time, bounded "eternal" solutions of the semilinear heat equation $ \begin{equation*} u_{t} = \Delta u + |u|^{p} \end{equation*} $ on complete Riemannian manifolds of dimension $ n \geq 5 $ with nonnegative Ricci tensor, when $ p $ is smaller than the critical Sobolev exponent $ \frac{n+2}{n-2} $. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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