Propagation de l'analyticité des solutions de systèmes hyperboliques non-linéaires.
Propagation de singularités pour des problèmes aux limites d'ordre 2
Propagation des ondes dans les dièdres
Propagation des ondes dans les dièdres
Propagation des ondes dans les variétés à coins
Propagation des ondes dans les variétés à coins
Propagation des singularités pour des opérateurs fuchsiens
Propagation des singularités Gevrey pour des opérateurs hyperboliques
Propagation des singularités pour les équations des ondes semi-linéaires
Propagation et réflexion de la propriété de transmission des distributions de Fourier
Propagation of analytic and Gevrey regularity for a class of semi-linear weakly hyperbolic equations
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.
Propagation of analyticity of the solutions to the Cauchy problem for nonlinear symmetrizable systems
Propagation of singularities along gliding rays
Propagation of singularities for a first order semi-linear system in
Propagation of singularities for interior mixed hyperbolic problem
Propagation of singularities for linear partial differential equations and reflections at a boundary
Propagation of singularities for the wave equation on manifolds with corners
In this talk we describe the propagation of and Sobolev singularities for the wave equation on manifolds with corners equipped with a Riemannian metric . That is, for , , and solving with homogeneous Dirichlet or Neumann boundary conditions, we show that is a union of maximally extended generalized broken bicharacteristics. This result is a counterpart of Lebeau’s results for the propagation of analytic singularities on real analytic manifolds with appropriately stratified boundary,...
Propagation of waves in a randomly stratified medium: an inverse problem.
Propagation of weak discontinuities for quasilinear hyperbolic systems with coefficients functionally dependent on solutions
The propagation of weak discontinuities for quasilinear systems with coefficients functionally dependent on the solution is studied. We demonstrate that, similarly to the case of usual quasilinear systems, the transport equation for the intensity of weak discontinuity is quadratic in this intensity. However, the contribution from the (nonlocal) functional dependence appears to be in principle linear in the jump intensity (with some exceptions). For illustration, several examples, including two hyperbolic...