par Godin, Paul
Référence Annales de l'Institut Henri Poincaré. Analyse non linéaire, 17, 6, page (779-815)
Publication Publié, 2000-11
Article révisé par les pairs
Résumé : In this paper, we consider mixed problems with a timelike boundary derivative (or a Dirichlet) condition for semilinear wave equations with exponential nonlinearities in a quarter plane. The case when the boundary vector field is tangent to the characteristic which leaves the domain in the future is also considered. We show that solutions either are global or blow up on a C1 curve which is spacelike except at the point where it meets the boundary; at that point, it is tangent to the characteristic which leaves the domain in the future. © 2000 Éditions scientifiques et médicales Elsevier SAS.