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Hölder continuity of the heat semigroup on conic manifolds

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Publication:1408933
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DOI10.1016/S1631-073X(03)00343-1zbMath1045.58017MaRDI QIDQ1408933

Hong-Quan Li

Publication date: 26 September 2003

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)


zbMATH Keywords

Hölder continuityheat kernelheat semigroupconic manifold


Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Heat and other parabolic equation methods for PDEs on manifolds (58J35)


Related Items

\(L_p\)-estimates of the wave equation on varieties with a conic singularity, Strichartz estimates for the Schrödinger equation on~polygonal domains, Estimation optimale du gradient du semi-groupe de la chaleur sur le groupe de Heisenberg



Cites Work

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  • Gaussian upper bounds for the heat kernel on arbitrary Riemannian manifolds
  • Spectral geometry of singular Riemannian spaces
  • The fundamental solutions of the heat equations on Riemannian spaces with cone-like singular points
  • On the parabolic kernel of the Schrödinger operator
  • Estimations of the heat kernel on conic manifolds and applications
  • On the diffraction of waves by conical singularities. I
  • A lower bound for the heat kernel
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