Discrete Dynamics in Nature and Society (Jan 2020)

Pullback Attractors for a Nonautonomous Retarded Degenerate Parabolic Equation

  • Fahe Miao,
  • Hui Liu,
  • Jie Xin

DOI
https://doi.org/10.1155/2020/4718496
Journal volume & issue
Vol. 2020

Abstract

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This paper is devoted to a nonautonomous retarded degenerate parabolic equation. We first show the existence and uniqueness of a weak solution for the equation by using the standard Galerkin method. Then we establish the existence of pullback attractors for the equation by proving the existence of compact pullback absorbing sets and the pullback asymptotic compactness.