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

• Published in: Український математичний журнал
• Date: 2004
• Main Authors: Nguyen Manh Hung, Pham Trieu Duong
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2004
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/163528
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: 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.

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. Досліджується п...