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

• Veröffentlicht in: Український математичний журнал
• Datum: 2008
• Hauptverfasser: Gadjiev, T.S., Gasimova, E.R.
• Format: Artikel
• Sprache: English
• Veröffentlicht: Інститут математики НАН України 2008
• Schlagworte: Статті
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/164686
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: 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...