Asymptotic solutions of the Dirichlet problem for the heat equation at a characteristic point

Asymptotic solutions of the Dirichlet problem for the heat equation at a characteristic point

The Dirichlet problem for the heat equation in a bounded domain is characteristic, for there are boundary points at which the boundary touches a characteristic hyperplane t = c, c being a constant. It was I.G. Petrovskii (1934) who first found necessary and sufficient conditions on the boundary whic...

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Bibliographic Details
Main Authors:	Antoniouk, Alexandra, Kiselev, Oleg, Stepanenko, Vitaly, Tarkhanov, Nikolai
Format:	Others
Language:	English
Published:	Universität Potsdam 2012
Subjects:	Heat equation the first boundary value problem characteristic boundary point cusp Mathematics
Online Access:	http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-61987 http://opus.kobv.de/ubp/volltexte/2012/6198/

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