Propagation, reflection and refraction of singularities for a hyperbolic transmission problem in two adjacent angular regions
Propagation through trapped sets and semiclassical resolvent estimates
Motivated by the study of resolvent estimates in the presence of trapping, we prove a semiclassical propagation theorem in a neighborhood of a compact invariant subset of the bicharacteristic flow which is isolated in a suitable sense. Examples include a global trapped set and a single isolated periodic trajectory. This is applied to obtain microlocal resolvent estimates with no loss compared to the nontrapping setting.
Propriété de symétrie des matrices localisées d'une matrice fortement hyperbolique en un point multiple
Propriétés asymptotiques des vibrations des tores
Propriétés d'oscillation des solutions de l'équation des ondes avec conditions de Dirichlet au bord
Pseudodifferential parametrices of infinite order for SG-hyperbolic problems.
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.