2017
Том 69
№ 9

All Issues

Mixed Boundary-Value Problem for Linear Second-Order Nondivergent Parabolic Equations with Discontinuous Coefficients

Guliyev A. F., Ismayilova S. H.


Abstract

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 $Ŵ_p^{2,1}$, where $p$ belongs to the same segment containing point 2.

English version (Springer): Ukrainian Mathematical Journal 66 (2014), no. 11, pp 1615-1638.

Citation Example: Guliyev A. F., Ismayilova S. H. Mixed Boundary-Value Problem for Linear Second-Order Nondivergent Parabolic Equations with Discontinuous Coefficients // Ukr. Mat. Zh. - 2014. - 66, № 11. - pp. 1443-1462.