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On heat kernel comparison theorems

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Publication:1300166
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DOI10.1006/jfan.1999.3395zbMath0945.58021OpenAlexW2084899819MaRDI QIDQ1300166

Roger Chen

Publication date: 26 September 2000

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.1999.3395

zbMATH Keywords

comparison theoremheat kernelminimal submanifold


Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Heat equation (35K05) Heat and other parabolic equation methods for PDEs on manifolds (58J35)




Cites Work

  • Unnamed Item
  • Hardy-Littlewood theory for semigroups
  • On the parabolic kernel of the Schrödinger operator
  • Remarks on mean-value inequalities on \(m\)-dimensional submanifolds of \(S^n\)
  • Eigenvalue estimates on homogeneous manifolds
  • Le spectre d'une variété riemannienne. (The spectrum of a Riemannian manifold)
  • Heat Equations on Minimal Submanifolds and Their Applications
  • A lower bound for the heat kernel
  • Sobolev and isoperimetric inequalities for riemannian submanifolds
  • Riemannian manifold, global mean value inequality, Laplace equation, heat equation, weak volume growth condition
  • Sobolev and mean‐value inequalities on generalized submanifolds of Rn
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