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

SERT U., ÖZTÜRK E.

KYUNGPOOK MATHEMATICAL JOURNAL, cilt.60, sa.1, ss.145-161, 2020 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 60 Sayı: 1
  • Basım Tarihi: 2020
  • Doi Numarası: 10.5666/kmj.2020.60.1.145
  • Dergi Adı: KYUNGPOOK MATHEMATICAL JOURNAL
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, zbMATH
  • Sayfa Sayıları: ss.145-161
  • Hacettepe Üniversitesi Adresli: Evet

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.