Existence and Behavior Results for a Nonlocal Nonlinear Parabolic Equation with Variable Exponent


SERT U. , ÖZTÜRK E.

KYUNGPOOK MATHEMATICAL JOURNAL, cilt.60, ss.145-161, 2020 (ESCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 60 Konu: 1
  • Basım Tarihi: 2020
  • Doi Numarası: 10.5666/kmj.2020.60.1.145
  • Dergi Adı: KYUNGPOOK MATHEMATICAL JOURNAL
  • Sayfa Sayıları: ss.145-161

Özet

In this article, we study the solvability of the Cauchy-Dirichlet problem for a class of nonlinear parabolic equations with nonstandard growth and nonlocal terms. We prove the existence of weak solutions of the considered problem under more general conditions. In addition, we investigate the behavior of the solution when the problem is homogeneous.