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Exponential Energy Decay for Damped Klein-Gordon Equation with Nonlinearities of Arbitrary Growth

Analysis of PDEs 2010-01-05 v1

Abstract

We derive a uniform exponential decay of the total energy for the nonlinear Klein-Gordon equation with a damping around spatial infinity in the whole space or in the exterior of a star shaped obstacle.

Keywords

Cite

@article{arxiv.1001.0209,
  title  = {Exponential Energy Decay for Damped Klein-Gordon Equation with Nonlinearities of Arbitrary Growth},
  author = {Lassaad Aloui and Slim Ibrahim and Kenji Nakanishi},
  journal= {arXiv preprint arXiv:1001.0209},
  year   = {2010}
}