Simple proof of a useful pointwise estimate for the wave equation
Mathematical Physics
2007-10-09 v2 math.MP
Abstract
We give a simple proof of a pointwise decay estimate in 3+1 dimensions stated in two versions, making advantage of a particular simplicity of inverting the spherically symmetric part of the wave operator and of the comparison theorem. We briefly explain the role of this estimate in proving decay estimates for nonlinear wave equations or wave equations with potential terms.
Cite
@article{arxiv.0708.2801,
title = {Simple proof of a useful pointwise estimate for the wave equation},
author = {Nikodem Szpak},
journal= {arXiv preprint arXiv:0708.2801},
year = {2007}
}
Comments
7 pages; some minor errors corrected; numerical values of the bounds added