Article: Matrix Li-Yau-Hamilton estimates under Ricci flow and parabolic frequency.
Calculus of variations and partial differential equations
2024 Volume 63, Issue 3, Page(s) 63
Abstract: We prove matrix Li-Yau-Hamilton estimates for positive solutions to the heat equation and the backward conjugate heat equation, both coupled with the Ricci flow. We then apply these estimates to establish the monotonicity of parabolic frequencies up to ... ...
| Abstract | We prove matrix Li-Yau-Hamilton estimates for positive solutions to the heat equation and the backward conjugate heat equation, both coupled with the Ricci flow. We then apply these estimates to establish the monotonicity of parabolic frequencies up to correction factors. As applications, we obtain some unique continuation results under the nonnegativity of sectional or complex sectional curvature. |
|---|---|
| Language | English |
| Publishing date | 2024-02-26 |
| Publishing country | Germany |
| Document type | Journal Article |
| ZDB-ID | 1464202-5 |
| ISSN | 1432-0835 ; 0944-2669 |
| ISSN (online) | 1432-0835 |
| ISSN | 0944-2669 |
| DOI | 10.1007/s00526-024-02668-x |
| Database | MEDical Literature Analysis and Retrieval System OnLINE |
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