A new entropy formula for the linear heat equation

DOI10.1007/s00013-011-0263-0zbMath1239.58018OpenAlexW2056039622MaRDI QIDQ543306

Lin-Feng Wang

Publication date: 17 June 2011

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-011-0263-0

zbMATH Keywords

entropyheat kerneldifferential Harnack inequality

Mathematics Subject Classification ID

Energy minimization in equilibrium problems in solid mechanics (74G65) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

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Cites Work

• Unnamed Item
• On the parabolic kernel of the Schrödinger operator
• Logarithmic Sobolev inequalities and the spectrum of Schrödinger operators
• Short time behavior of logarithmic derivatives of the heat kernel
• The entropy formula for linar heat equation