Mixed boundary-value problem for linear second-order nondivergent parabolic equations with discontinuous coefficients

• Published in: Український математичний журнал
• Date: 2014
• Main Authors: Guliyev, A.F., Ismayilova, S.H.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2014
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/166119
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Mixed boundary-value problem for linear second-order nondivergent parabolic equations with discontinuous coefficients / A.F. Guliyev, S.H. Ismayilova // Український математичний журнал. — 2014. — Т. 66, № 11. — С. 1443–1462. — Бібліогр.: 14 назв. — англ.

The mixed boundary-value problem is considered for linear second-order nondivergent parabolic equations with discontinuous coefficients satisfying the Cordes conditions. The one-valued strong (almost everywhere) solvability of this problem is proved in the space Ŵ2,1p, where p belongs to the same se...