Global solution and smoothing effect for a non-local regularization of an hyperbolic equation

Jerome Droniou (1) , Thierry Gallouët (2) , Julien Vovelle (3)

1 I3M - Institut de Mathématiques et de Modélisation de Montpellier
2 LATP - Laboratoire d'Analyse, Topologie, Probabilités
3 IRMAR - Institut de Recherche Mathématique de Rennes

Global existence and uniqueness of the solution of a nonlocal regularization of an hyperbolic equation is proven. A regularity result is also given.

Mots clés: nonlocal regularization; hyperbolic equation

Domaines: Analyse classique [math.CA]

Jerome Droniou, Thierry Gallouët, Julien Vovelle. Global solution and smoothing effect for a non-local regularization of an hyperbolic equation. Journal of Evolution Equations, 2003, 3 (3), pp.499-521. ⟨10.1007/s00028-003-0503-1⟩. ⟨hal-00003438⟩