Affordable Access

Publisher Website

Existence of global decaying solutions to the exterior problem for the Klein–Gordon equation with a nonlinear localized dissipation and a derivative nonlinearity

Authors
Journal
Journal of Differential Equations
0022-0396
Publisher
Elsevier
Publication Date
Volume
255
Issue
11
Identifiers
DOI: 10.1016/j.jde.2013.07.060
Keywords
  • Global Solutions
  • Energy Decay
  • Klein–Gordon Equation
  • Nonlinear Dissipation
  • Derivative Nonlinearity

Abstract

Abstract We prove the existence of global decaying solutions to the exterior problem for the Klein–Gordon equation with a nonlinear localized dissipation and a derivative nonlinearity. To derive the required estimates of solutions we employ a ‘loan’ method.

There are no comments yet on this publication. Be the first to share your thoughts.