ON THE CAUCHY PROBLEM FOR THE HEAT EQUATION ON RIEMANNIAN MANIFOLDS WITH CONICAL SINGULARITIES

DOI10.1093/qmath/has016zbMath1285.58008arXiv1105.2118OpenAlexW2962840340WikidataQ115270560 ScholiaQ115270560MaRDI QIDQ2871293

Tapio Behrndt

Publication date: 22 January 2014

Published in: The Quarterly Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.2118

zbMATH Keywords

existenceCauchy problemregularity of solutionscompact Riemannian manifolds with conical singularitiesinhomogeneous heat equation

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Heat equation (35K05) Boundary value problems on manifolds (58J32) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

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