Riemannian manifold, global mean value inequality, Laplace equation, heat equation, weak volume growth condition

DOI10.1512/iumj.1999.48.1714zbMath1003.58026OpenAlexW2035664803WikidataQ115237121 ScholiaQ115237121MaRDI QIDQ4954464

Peter Li, Jiaping Wang

Publication date: 7 June 2000

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: http://www.iumj.indiana.edu/TOC/994.htm

zbMATH Keywords

heat equationGreen's functionLaplace equationheat kernelharmonic functionsvolume growthmean value inequalityLiouville property

Mathematics Subject Classification ID

Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Potential theory on Riemannian manifolds and other spaces (31C12)

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