The Cauchy Problem for Wave Equations with NonLipschitz Coefficients
偏微分方程分析
2007-05-23 v1
摘要
In this paper we study the Cauchy problem for second order strictly hyperbolic operators when the coefficients of the principal part are not Lipschitz continuous, but only "Log-Lipschitz" with respect to all the variables. This class of equation is invariant under changes of variables and therefore suitable for a local analysis. In particular, we show local existence, local uniqueness and finite speed of propagation for the noncharacteristic Cauchy problem.
引用
@article{arxiv.math/0611426,
title = {The Cauchy Problem for Wave Equations with NonLipschitz Coefficients},
author = {Ferruccio Colombini and Guy Metivier},
journal= {arXiv preprint arXiv:math/0611426},
year = {2007}
}
备注
44 pages