Some estimates of fundamental solutions on noncompact manifolds with time-dependent metrics

DOI10.1007/s00229-011-0517-yzbMath1257.53060arXiv0810.0578OpenAlexW2080612270MaRDI QIDQ692609

Chengjie Yu

Publication date: 6 December 2012

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0810.0578

zbMATH Keywords

asymptotic behaviorheat equationLaplacian operatorsmooth family of complete Riemannian metrics

Mathematics Subject Classification ID

Fundamental solutions to PDEs (35A08) Heat equation (35K05) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (2)

Heat ball formulæ for \(k\)-forms on evolving manifolds ⋮ Sharp Hamilton’s Laplacian estimate for the heat kernel on complete manifolds

Cites Work

• Asymptotic behaviour of fundamental solutions and potential theory of parabolic operators with variable coefficients
• The fundamental solution on manifolds with time-dependent metrics
• Upper bounds of derivatives of the heat kernel on an arbitrary complete manifold
• Pseudolocality for the Ricci Flow and Applications
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