Time-dependent loss of derivatives for hyperbolic operators with non regular coefficients
Analysis of PDEs
2013-09-19 v1
Abstract
In this paper we will study the Cauchy problem for strictly hyperbolic operators with low regularity coefficients in any space dimension . We will suppose the coefficients to be log-Zygmund continuous in time and log-Lipschitz continuous in space. Paradifferential calculus with parameters will be the main tool to get energy estimates in Sobolev spaces and these estimates will present a time-dependent loss of derivatives.
Keywords
Cite
@article{arxiv.1305.1095,
title = {Time-dependent loss of derivatives for hyperbolic operators with non regular coefficients},
author = {Ferruccio Colombini and Daniele Del Santo and Francesco Fanelli and Guy Métivier},
journal= {arXiv preprint arXiv:1305.1095},
year = {2013}
}
Comments
to appear in Comm. Partial Differential Equations (2013)