REGULARITY RESULTS FOR A CLASS OF HYPERBOLIC EQUATIONS WITH VMO COEFFICIENTS
Résumé
In this note we show a regularity result for an hyperbolic system with discontinuous coefficients. More precisely, we deal with coefficients in the function space VMO and we prove the existence and uniqueness of a solution $ u \in L^{\infty}(0,T;H^2(\Omega))$ with also suitable regularity for $\frac{\partial u }{\partial t}$,$\frac{\partial^2 u }{\partial t^2}$ and $\frac{\partial^3 u }{\partial t^3}$
Origine | Fichiers produits par l'(les) auteur(s) |
---|
Loading...