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

Maxime Ingremeau

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arXiv · 1706.07691

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

Maxime Ingremeau

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Abstract

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.

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BibTeX RIS

Maxime Ingremeau. 2017-06-22. Semiclassical limits of distorted plane waves in chaotic scattering without a pressure condition. https://arxiv.org/abs/1706.07691

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