Dispersive estimates for the wave and the Klein-Gordon equations in large time inside the Friedlander domain
Analysis of PDEs
2020-12-16 v1
Abstract
We prove global in time dispersion for the wave and the Klein-Gordon equation inside the Friedlander domain by taking full advantage of the space-time localization of caustics and a precise estimate of the number of waves that may cross at a given, large time. Moreover, we uncover a significant difference between Klein-Gordon and the wave equation in the low frequency, large time regime, where Klein-Gordon exhibits a worse decay that the wave, unlike in the flat space.
Cite
@article{arxiv.2012.08354,
title = {Dispersive estimates for the wave and the Klein-Gordon equations in large time inside the Friedlander domain},
author = {Oana Ivanovici},
journal= {arXiv preprint arXiv:2012.08354},
year = {2020}
}