Advertisement

Uniformly Damped Linear Semi-groups

  • Alain HarauxEmail author
  • Mohamed Ali Jendoubi
Chapter
Part of the SpringerBriefs in Mathematics book series (BRIEFSMATH)

Abstract

A contraction semi-group on a real Banach space is either made of operators of norm equal to 1 for all times, or exponentially decaying in norm. Exponential decay is established in relevant norms for the heat equation and the wave equation with dissipation in a bounded domain.

Copyright information

© The Author(s) 2015

Authors and Affiliations

  1. 1.Laboratoire Jacques-Louis LionsSorbonne Universités, UPMC Univ Paris 06, CNRS, UMR 7598ParisFrance
  2. 2.Institut Préparatoire aux Etudes Scientifiques et TechniquesUniversité de CarthageLa MarsaTunisia
  3. 3.Faculté des sciences de Tunis, Laboratoire EDP-LR03ES04Université de Tunis El ManarTunisTunisia

Personalised recommendations