Differential Harnack inequalities for semilinear parabolic equations on \(\mathrm{RCD}^{\ast} (K,N)\) metric measure spaces

DOI10.1016/j.na.2023.113368zbMath1527.53037OpenAlexW4386553037MaRDI QIDQ6090869

Zhi-Hao Lu

Publication date: 20 November 2023

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2023.113368

zbMATH Keywords

Liouville theoremsemilinear parabolic equationsmetric measure spacesdifferential Harnack inequality\(\mathrm{RCD}^* (K, N)\) spaces

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Semilinear parabolic equations (35K58) Positive solutions to PDEs (35B09) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Related Items (1)

Differential Harnack inequalities for semilinear parabolic equations on Riemannian manifolds. II: Integral curvature condition

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