Doubly nonlinear parabolic equations with variable exponents of nonlinearity

  • T. M. Bokalo Львiв. нац. ун-т iм. I. Франка
  • O. M. Buhrii

Abstract

We investigate a mixed problem for a class of parabolic-type equations with double nonlinearity and minor terms that do not degenerate and whose indexes of nonlinearity are functions of spatial variables. These problems are considered in the generalized Lebesgue and Sobolev spaces. We obtain conditions for the existence of the generalized solution of this problem by using the Galerkin method.
Published
25.05.2011
How to Cite
Bokalo, T. M., and O. M. Buhrii. “Doubly Nonlinear Parabolic Equations With Variable Exponents of Nonlinearity”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 63, no. 5, May 2011, pp. 612-28, https://umj.imath.kiev.ua/index.php/umj/article/view/2747.
Section
Research articles