Problème de Cauchy semi-linéaire en 3 dimensions d'espace. Un résultat de finitude
Propagation des singularités pour les équations des ondes semi-linéaires
Propagation of analyticity of solutions to the Cauchy problem for Kirchhoff type equations
We shall give the local in time existence of the solutions in Gevrey classes to the Cauchy problem for Kirhhoff equations of -laplacian type and investigate the propagation of analyticity of solutions for real analytic deta. When , his equation as the global real analytic solution for the real analytic initial data.
Propriétés d'oscillation des solutions de l'équation des ondes avec conditions de Dirichlet au bord
Pseudomonotonicity and nonlinear hyperbolic equations
In this paper we consider a nonlinear hyperbolic boundary value problem. We show that this problem admits weak solutions by using a lifting result for pseudomonotone operators and a surjectivity result concerning coercive and monotone operators.