Distribution of Resonances in Scattering by Thin Barriers

Jeffrey Galkowski (Autor)

Buch | Softcover

153 Seiten

2019
American Mathematical Society (Verlag)
978-1-4704-3572-1 (ISBN)

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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.

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 $/partial/Omega$.

Jeffrey Galkowski, McGill University, Montreal, Canada.

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.

Erscheinungsdatum	01.07.2019
Reihe/Serie	Memoirs of the American Mathematical Society
Verlagsort	Providence
Sprache	englisch
Maße	178 x 254 mm
Gewicht	250 g
Themenwelt	Mathematik / Informatik ► Mathematik
Themenwelt	Naturwissenschaften ► Physik / Astronomie
ISBN-10	1-4704-3572-1 / 1470435721
ISBN-13	978-1-4704-3572-1 / 9781470435721
Zustand	Neuware