Hardy Inequality and Heat Semigroup Estimates for Riemannian Manifolds with Singular Data

DOI10.1080/03605302.2011.596879zbMath1251.58009arXiv1011.1726OpenAlexW2086375320MaRDI QIDQ2904528

Alexander Grigor'yan, Peter B. Gilkey, Klaus Kirsten, Michiel van den Berg

Publication date: 14 August 2012

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.1726

zbMATH Keywords

Riemannian manifoldHardy inequalitysingular dataheat semigroup estimates

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Boundary value problems on manifolds (58J32) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

Related Items (6)

Neumann heat content asymptotics with singular initial temperature and singular specific heat ⋮ Growth of heat trace and heat content asymptotic coefficients ⋮ Heat content with singular initial temperature and singular specific heat ⋮ Hardy inequalities on Riemannian manifolds and applications ⋮ Uniform bounds for the heat content of open sets in Euclidean space ⋮ Hardy's inequality for functions vanishing on a part of the boundary

Cites Work

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• Heat content asymptotics with singular initial temperature distributions
• Heat flow and Hardy inequality in complete Riemannian manifolds with singular initial conditions
• Heat content asymptotics of a Riemannian manifold with boundary
• Spectral stability of the Neumann Laplacian.
• Heat content and Hardy inequality for complete Riemannian manifolds
• On Strong Barriers and an Inequality of Hardy for Domains in R ⁿ
• Sharp boundary estimates for elliptic operators
• HEAT CONTENT AND A HARDY INEQUALITY FOR COMPLETE RIEMANNIAN MANIFOLDS

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