Channels of energy for the linear radial wave equation
Analysis of PDEs
2014-09-15 v1 Mathematical Physics
math.MP
Abstract
Exterior channel of energy estimates for the radial wave equation were first considered in three dimensions by Duyckaerts, the first author, and Merle, and recently for the 5-dimensional case by the first, second, and fourth authors. In this paper we find the general form of the channel of energy estimate in all odd dimensions for the radial free wave equation. This will be used in a companion paper to establish soliton resolution for equivariant wave maps in 3 dimensions exterior to the ball B(0,1), and in all equivariance classes.
Keywords
Cite
@article{arxiv.1409.3643,
title = {Channels of energy for the linear radial wave equation},
author = {Carlos Kenig and Andrew Lawrie and Baoping Liu and Wilhelm Schlag},
journal= {arXiv preprint arXiv:1409.3643},
year = {2014}
}
Comments
42 pages