On the smoothness of a generalized solution of the first initial boundary-value problem for strongly parabolic systems in a cylinder with nonsmooth base with respect to time variable

We consider the first initial boundary-value problem for strongly parabolic systems in an infinite cylinder with nonsmooth boundary. We establish conditions for the existence of generalized solutions, an estimate for this solutions, and an estimate for the derivative of the solution.

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Datum:2004
Hauptverfasser: Nguyen Manh Hung, Pham Trieu Duong
Format: Artikel
Sprache:English
Veröffentlicht: Інститут математики НАН України 2004
Schriftenreihe:Український математичний журнал
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Online Zugang:http://dspace.nbuv.gov.ua/handle/123456789/163528
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:On the smoothness of a generalized solution of the first initial boundary-value problem for strongly parabolic systems in a cylinder with nonsmooth base with respect to time variable / Nguyen Manh Hung, Pham Trieu Duong // Український математичний журнал. — 2004. — Т. 56, № 1. — С. 78–87. — Бібліогр.: 5 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine