| Autor: |
Giacomo Ascione, Daniele Castorina, Giovanni Catino, Carlo Mantegazza |
| Jazyk: |
angličtina |
| Rok vydání: |
2023 |
| Předmět: |
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| Zdroj: |
Mathematics in Engineering, Vol 5, Iss 1, Pp 1-15 (2023) |
| Druh dokumentu: |
article |
| ISSN: |
2640-3501 |
| DOI: |
10.3934/mine.2023003?viewType=HTML |
| Popis: |
We derive a matrix version of Li & Yau–type estimates for positive solutions of semilinear heat equations on Riemannian manifolds with nonnegative sectional curvatures and parallel Ricci tensor, similarly to what R. Hamilton did in [5] for the standard heat equation. We then apply these estimates to obtain some Harnack–type inequalities, which give local bounds on the solutions in terms of the geometric quantities involved. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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