The Cauchy Problem for Wave Equations with NonLipschitz Coefficients
Language
en
Article de revue
This item was published in
Annales Scientifiques de l'École Normale Supérieure. 2008, vol. 41, p. pp 1--44
Société mathématique de France
English 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. ...Read more >
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.Read less <
English Keywords
Wave equations
Well posedness
Cauchy problem
local existence and uniqueness
nonsmooth coefficients
Origin
Hal imported