Mathematical Theory of Scattering Resonances
by Semyon Dyatlov, Maciej Zworski
Publisher: MIT 2018
Number of pages: 640
Description:
Contents: Scattering resonances in dimension one; Resonances for potentials in odd dimensions; Black box scattering in Rn; The method of complex scaling; Perturbation theory for resonances; Resolvent estimates in semiclassical scattering; Chaotic scattering; etc.
Download or read it online for free here:
Download link
(12MB, PDF)
Similar books
Lectures on Semi-group Theory and its Application to Cauchy's Problem in Partial Differential Equationsby K. Yosida - Tata Institute of Fundamental Research
In these lectures, we shall be concerned with the differentiability and the representation of one-parameter semi-groups of bounded linear operators on a Banach space and their applications to the initial value problem for differential equations.
(13140 views)
Lectures on Elliptic Partial Differential Equationsby J.L. Lions - Tata Institute of Fundamental Research
In these lectures we study the boundary value problems associated with elliptic equation by using essentially L2 estimates (or abstract analogues of such estimates). We consider only linear problem, and we do not study the Schauder estimates.
(10662 views)
Introduction to Partial Differential Equationsby Valeriy Serov - University of Oulu
Contents: Preliminaries; Local Existence Theory; Fourier Series; One-dimensional Heat Equation; One-dimensional Wave Equation; Laplace Equation; Laplace Operator; Dirichlet and Neumann Problems; Layer Potentials; The Heat Operator; The Wave Operator.
(14650 views)
An Introduction to Microlocal Analysisby Richard B. Melrose, Gunther Uhlmann - MIT
The origin of scattering theory is the study of quantum mechanical systems. The scattering theory for perturbations of the flat Laplacian is discussed with the approach via the solution of the Cauchy problem for the corresponding perturbed equation.
(11872 views)