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Asymptotics of solutions of the heat equation in cones and dihedra
Linköping University, Department of Mathematics, Mathematics and Applied Mathematics. Linköping University, The Institute of Technology.
University of Rostock, Germany .
2012 (English)In: Mathematische Nachrichten, ISSN 0025-584X, E-ISSN 1522-2616, Vol. 285, no 11-12, 1422-1449 p.Article in journal (Refereed) Published
Abstract [en]

The authors deal with the asymptotics of solutions of the first boundary value problem for the heat equation near vertices of cones or edges. They obtain estimates for the remainder in weighted Lp, q Sobolev spaces. The paper generalizes the main result of Kozlov and Mazya 6 to the case \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}$p,q\not=2$\end{document} and to edges.

Place, publisher, year, edition, pages
Wiley-VCH Verlag Berlin , 2012. Vol. 285, no 11-12, 1422-1449 p.
Keyword [en]
Heat equation, conical points, edges, asymptotics, msc (2010) 35C20, 35K05, 35K20
National Category
Natural Sciences
Identifiers
URN: urn:nbn:se:liu:diva-81218DOI: 10.1002/mana.201100192ISI: 000307008700011OAI: oai:DiVA.org:liu-81218DiVA: diva2:551058
Available from: 2012-09-10 Created: 2012-09-10 Last updated: 2017-12-07

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Kozlov, Vladimir

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