Heat content asymptotics with singular initial temperature distributions

DOI10.1016/j.jfa.2008.03.002zbMath1143.58013OpenAlexW1976234072WikidataQ125294226 ScholiaQ125294226MaRDI QIDQ932536

Michiel van den Berg, Robert T. Seeley, Peter B. Gilkey

Publication date: 11 July 2008

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

Full work available at URL: https://doi.org/10.1016/j.jfa.2008.03.002

zbMATH Keywords

Dirichlet boundary conditionsRobin boundary conditionsheat content asymptotics

Mathematics Subject Classification ID

Boundary value problems on manifolds (58J32)

Related Items

Hardy Inequality and Heat Semigroup Estimates for Riemannian Manifolds with Singular Data ⋮ Geometric properties of the heat content ⋮ Heat trace asymptotics with singular weight functions. II ⋮ Neumann heat content asymptotics with singular initial temperature and singular specific heat ⋮ Heat flow out of a compact manifold ⋮ Growth of heat trace and heat content asymptotic coefficients ⋮ Heat content with singular initial temperature and singular specific heat ⋮ Positive solutions for a class of coupled system of singular three-point boundary value problems

Cites Work

• Heat content asymptotics for Riemannian manifolds with Zaremba boundary conditions
• Heat flow and Hardy inequality in complete Riemannian manifolds with singular initial conditions
• Heat trace asymptotics with singular weight functions
• Heat content asymptotics of a Riemannian manifold with boundary
• Functional calculus of pseudodifferential boundary problems.
• Heat content and Hardy inequality for complete Riemannian manifolds
• HEAT CONTENT AND A HARDY INEQUALITY FOR COMPLETE RIEMANNIAN MANIFOLDS
• The Resolvent of an Elliptic Boundary Problem
• Analytic Extension of the Trace Associated with Elliptic Boundary Problems
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