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Exponential dichotomy for a nonautonomous system of parabolic equations

Abstract:

In this paper we study the existence and roughness of exponential dichotomy (ED) of a non-autonomous system of parabolic equations with Neumann boundary conditions. In order to do that, we first set the problem in the Linear Skew-Product Semiflow (LSPS) framework. Then we prove that the ED is not destroyed by small perturbation (roughness). Next, we compute the dynamical spectrum for this LSPS. Finally, under some conditions we prove that zero does not belong to the dynamical spectrum corresponding to this LSPS. i.e., the system has ED (existence). © 1998 Plenum Publishing Corporation.

Año de publicación:

1998

Keywords:

  • Dynamical spectrum
  • Exponential dichotomy
  • Skew-product semiflow
  • System of parabolic equations

Fuente:

googlegoogle
scopusscopus

Tipo de documento:

Article

Estado:

Acceso restringido

Áreas de conocimiento:

  • Ecuación diferencial
  • Optimización matemática

Áreas temáticas:

  • Análisis

Contribuidores:

Hugo LeivaHugo Leiva