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Pré-Publication, Document De Travail Année : 2020

Semiclassical limits of distorted plane waves in chaotic scattering without a pressure condition

Résumé

In this paper, we study the semi-classical behavior of distorted plane waves, on manifolds that are Euclidean near infinity or hyperbolic near infinity, and of non-positive curvature. Assuming that there is a strip without resonances below the real axis, we show that distorted plane waves are bounded in $L^2_{loc}$ independently of $h$, that they admit a unique semiclassical measure, and we prove bounds on their $L^p_{loc}$ norms.

Dates et versions

hal-02991705 , version 1 (06-11-2020)

Identifiants

Citer

Maxime Ingremeau. Semiclassical limits of distorted plane waves in chaotic scattering without a pressure condition. 2020. ⟨hal-02991705⟩
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