A global attractor for a nonlocal parabolic problem

  • Jacson Simsen UNIFEI-Universidade Federal de Itajubá
  • Jorge Ferreira

Abstract

In this work we investigate the existence, uniqueness, continuity with respect to the initial values and exponential stability of the weak solutions for a nonlinear parabolic
equation of reaction-diffusion nonlocal type by an application of the Faedo-Galerkin approximation and Aubin-Lions compactness result, coupled with some technical ideas. Moreover, we prove the joint continuity of the solution and an important result on the existence of the global attractor is presented.
Published
2014-08-26
Section
Articles