Nonnegative solutions of the heat equation on rotationally symmetric Riemannian manifolds and semismall perturbations

DOI10.4171/RMI/656zbMath1227.58007WikidataQ115211872 ScholiaQ115211872MaRDI QIDQ643329

Minoru Murata

Publication date: 28 October 2011

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmi/1312906781

zbMATH Keywords

heat equationuniquenessnonnegative solutionintegral representationLaplace operatormartin boundaryrotationally symmetric Riemannian manifoldsemismall perturbation

Mathematics Subject Classification ID

Heat equation (35K05) Integral representations of solutions to PDEs (35C15) Martin boundary theory (31C35) Perturbations in context of PDEs (35B20) Initial value problems for second-order parabolic equations (35K15) Elliptic equations and elliptic systems (35J99) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Potential theory on Riemannian manifolds and other spaces (31C12)

Related Items (2)

A parabolic approach to Martin boundaries for elliptic equations in skew product form ⋮ On solvability of the boundary value problems for harmonic function on noncompact Riemannian manifolds

Cites Work

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