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Asymptotics of solutions of the heat equation in cones and dihedra under minimal assumptions on the boundary
Linköping University, Department of Mathematics, Mathematics and Applied Mathematics. Linköping University, The Institute of Technology.
Institut für Mathematik, Universität Rostock.
2012 (English)In: Boundary Value Problems, ISSN 1687-2762, E-ISSN 1687-2770, Vol. 2112, no 142Article in journal (Refereed) Published
Abstract [en]

In the first part of the paper, the authors obtain the asymptotics of Green’s function of the first boundary value problem for the heat equation in an m-dimensional cone K. The second part deals with the first boundary value problem for the heat equation in the domain K×Rn−m. Here the right-hand side f of the heat equation is assumed to be an element of a weighted Lp,q-space. The authors describe the behavior of the solution near the (n−m)-dimensional edge of the domain.

Place, publisher, year, edition, pages
Springer, 2012. Vol. 2112, no 142
National Category
Natural Sciences
URN: urn:nbn:se:liu:diva-86257DOI: 10.1186/1687-2770-2012-142ISI: 000314411900001OAI: diva2:576097
Available from: 2012-12-12 Created: 2012-12-12 Last updated: 2013-03-14

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Kozlov, Vladimir
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