On the smoothness of a solution of the first boundary-value problem for second-order degenerate elliptic-parabolic equations

• Published in: Український математичний журнал
• Date: 2008
• ISSN: 1027-3190
• Main Authors: Gadjiev, T.S., Gasimova, E.R.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2008
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/164686
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On the smoothness of a solution of the first boundary-value problem for second-order degenerate elliptic-parabolic equations / T.S. Gadjiev, E.R. Gasimova // Український математичний журнал. — 2008. — Т. 60, № 6. — С. 723–736. — Бібліогр.: 7 назв. — англ.

In this work, the first boundary-value problem is considered for second-order degenerate elliptic-parabolic equation with, generally speaking, discontinuous coefficients. The matrix of senior coefficients satisfies the parabolic Cordes condition with respect to space variables. We prove that the gen...