Dispersive estimates for hyperbolic systems with time-dependent coefficients
Analysis of PDEs
2011-06-15 v2
Abstract
This paper is devoted to the study of time-dependent hyperbolic systems and the derivation of dispersive estimates for their solutions. It is based on a diagonalisation of the full symbol within adapted symbol classes in order to extract the essential information about representations of solutions. This is combined with a multi-dimensional van der Corput lemma to derive dispersive estimates.
Cite
@article{arxiv.1005.2492,
title = {Dispersive estimates for hyperbolic systems with time-dependent coefficients},
author = {Michael Ruzhansky and Jens Wirth},
journal= {arXiv preprint arXiv:1005.2492},
year = {2011}
}
Comments
35 pages