We obtain large time decay estimates on weighted $L^p$ spaces for solutions to the wave equation with real-valued potential $V(x)=O(|x|^{-2-a})$, $a>0$, for $|x|>1$.
Publié le : 2004-07-05
Classification:
wave equation,
potential,
35L05; 35L15,
[MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP]
@article{hal-00003122,
author = {Cardoso, Fernando and Vodev, Georgi},
title = {Weighted L^p decay estimates of solutions to the wave equation with a potential},
journal = {HAL},
volume = {2004},
number = {0},
year = {2004},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-00003122}
}
Cardoso, Fernando; Vodev, Georgi. Weighted L^p decay estimates of solutions to the wave equation with a potential. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00003122/