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

Abstract

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 generalized solution to the problem belongs to the Holder space C 1+λ if the right-hand side f belongs to Lp, p > n.

Published
25.06.2008
How to Cite
Gadjiev, T. S., and E. R. Gasimova. “On the Smoothness of a Solution of the First Boundary-Value Problem for Second-Order Degenerate Elliptic-Parabolic Equations”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 60, no. 6, June 2008, pp. 723–736, https://umj.imath.kiev.ua/index.php/umj/article/view/3192.
Section
Research articles