English

Weighted L^p decay estimates of solutions to the wave equation with a potential

Analysis of PDEs 2007-05-23 v1

Abstract

We obtain large time decay estimates on weighted LpL^p spaces for solutions to the wave equation with real-valued potential V(x)=O(x2a)V(x)=O(|x|^{-2-a}), a>0a>0, for x>1|x|>1.

Keywords

Cite

@article{arxiv.math/0410462,
  title  = {Weighted L^p decay estimates of solutions to the wave equation with a potential},
  author = {Fernando Cardoso and Georgi Vodev},
  journal= {arXiv preprint arXiv:math/0410462},
  year   = {2007}
}