Distribution of Resonances in Scattering by Thin Barriers
Author:   Jeffrey Galkowski
Publisher:   American Mathematical Society
ISBN:  

9781470435721


Pages:   153
Publication Date:   30 June 2019
Format:   Paperback
Availability:   In Print   Availability explained
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Distribution of Resonances in Scattering by Thin Barriers


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Overview

The author studies high energy resonances for the operators $-\Delta_{\partial\Omega,\delta}:=-\Delta \delta_{\partial\Omega}\otimes V\quad \textrm{and}\quad -\Delta_{\partial\Omega,\delta'}:=-\Delta \delta_{\partial\Omega}'\otimes V\partial_\nu$ where $\Omega\subset{\mathbb{R}}^{d}$ is strictly convex with smooth boundary, $V:L^{2}(\partial\Omega)\to L^{2}(\partial\Omega)$ may depend on frequency, and $\delta_{\partial\Omega}$ is the surface measure on $\partial\Omega$.

Full Product Details

Author:   Jeffrey Galkowski
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
Weight:   0.250kg
ISBN:  

9781470435721


ISBN 10:   1470435721
Pages:   153
Publication Date:   30 June 2019
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

Introduction Preliminaries Meromorphic continuation of the resolvent Boundary layer operators Dynamical resonance free regions Existence of resonances for the Delta potential Appendix A. Model cases Appendix B. Semiclassical intersecting Lagrangian distributions Appendix C. The semiclassical Melrose-Taylor parametrix Bibliography.

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Jeffrey Galkowski, McGill University, Montreal, Canada.

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