The Cauchy Problem for Wave Equations with NonLipschitz Coefficients
Langue
en
Article de revue
Ce document a été publié dans
Annales Scientifiques de l'École Normale Supérieure. 2008, vol. 41, p. pp 1--44
Société mathématique de France
Résumé en anglais
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. ...Lire la suite >
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.< Réduire
Mots clés en anglais
Wave equations
Well posedness
Cauchy problem
local existence and uniqueness
nonsmooth coefficients
Origine
Importé de halUnités de recherche