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 G⊂Rn+1 is characteristic because there are boundary points at which the boundary touches a characteristic hyperplane t=c, where c is a constant. For the first time, necessary and sufficient conditions on the boundary guaranteeing that t...
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Date: | 2014 |
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Main Authors: | , , |
Format: | Article |
Language: | English |
Published: |
Інститут математики НАН України
2014
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Series: | Український математичний журнал |
Subjects: | |
Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/166114 |
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Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
Cite this: | Asymptotic solutions of the Dirichlet problem for the heat equation at a characteristic point / A.V. Antoniouk, O.M. Kiselev, N.N. Tarkhanov // Український математичний журнал. — 2014. — Т. 66, № 10. — С. 1299–1317. — Бібліогр.: 20 назв. — англ. |