Work

The Cauchy Problem for Wave Equations with NonLipschitz Coefficients

Year: 2006

Type: preprint

Abstract: 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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.math/0611426

Authors: Colombini, Ferruccio, Metivier, Guy

Institution: Institut de Mathématiques de Bordeaux

Language: English

Topic: Differential Equations and Boundary Problems

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W1618724130

Cites: 9

Cited by: 5

Related to: 10