Gradient estimates of Li Yau type for a general heat equation on Riemannian manifolds

DOI10.5817/AM2016-4-207zbMath1389.58011OpenAlexW2580222568WikidataQ115158870 ScholiaQ115158870MaRDI QIDQ2955960

Nguyen Ngoc Khanh

Publication date: 13 January 2017

Published in: Archivum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5817/am2016-4-207

zbMATH Keywords

heat equationRiemannian manifoldgradient estimatesBakry-Émery Ricci curvatureLaplacian comparison theorem\(V\)-Bochner-Weitzenböck formula

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) A priori estimates in context of PDEs (35B45) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Semilinear parabolic equations (35K58) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53) PDEs on manifolds (35R01)

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