On -Laplacian Parabolic Problems with Non-Globally Lipschitz Forcing Term

  • Jacson Simsen

    Universidade Federal de Itajubá, Itajubá, Minas Gerais, Brazil
  • Mariza S. Simsen

    Universidade Federal de Itajubá, Itajubá, Minas Gerais, Brazil
  • Marcos R. Teixeira Primo

    Universidade Estadual de Maringá, Paraná, Brazil

Abstract

In this work we prove continuity of solutions with respect to initial conditions and exponent parameters and we prove upper semicontinuity of a family of global attractors for problems of the form

where is a non-globally Lispchitz Carathéodory mapping, is a bounded smooth domain in and as goes to infinity.

Cite this article

Jacson Simsen, Mariza S. Simsen, Marcos R. Teixeira Primo, On -Laplacian Parabolic Problems with Non-Globally Lipschitz Forcing Term. Z. Anal. Anwend. 33 (2014), no. 4, pp. 447–462

DOI 10.4171/ZAA/1522