Convergence of fundamental solutions of linear parabolic equations under Cheeger-Gromov convergence

DOI10.1007/s00208-011-0679-7zbMath1243.58012arXiv1005.0871OpenAlexW1990054727MaRDI QIDQ422379

Peng Lu

Publication date: 16 May 2012

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1005.0871

zbMATH Keywords

fundamental solutionheat kernelCheeger-Gromov convergence

Mathematics Subject Classification ID

Fundamental solutions to PDEs (35A08) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Heat kernel (35K08)

Related Items (2)

On the equivalence between noncollapsing and bounded entropy for ancient solutions to the Ricci flow ⋮ Liouville theorem for the nonlinear Poisson equation on manifolds

Cites Work

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• A note on Perelman's LYH-type inequality
• Maximum principle and convergence of fundamental solutions for the Ricci flow
• Notes on Perelman's papers
• On the parabolic kernel of the Schrödinger operator
• Pseudolocality for the Ricci Flow and Applications
• The convergence of the minimal positive fundamental solutions under Ricci flow
• Hamilton’s gradient estimate for the heat kernel on complete manifolds

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