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
An Introduction to Partial Differential Equationsby Per Kristen Jakobsen - arXiv.org
These lecture notes view the subject through the lens of applied mathematics. The physical context for basic equations like the heat equation, the wave equation and the Laplace equation are introduced early on, and the focus is on methods.
(5329 views)
Pseudodifferential Operators and Nonlinear PDEby Michael E. Taylor - Birkhäuser Boston
Since the 1980s, the theory of pseudodifferential operators has yielded many significant results in nonlinear PDE. This monograph is devoted to a summary and reconsideration of some uses of this important tool in nonlinear PDE.
(11254 views)
An Introduction to D-Modulesby Jean-Pierre Schneiders - Universite de Liege
These notes introduce the reader to the algebraic theory of systems of partial differential equations on a complex analytic manifold. We start by explaining how to switch from the classical point of view to the point of view of algebraic analysis.
(9995 views)
Existence, multiplicity, perturbation, and concentration results for a class of quasi-linear elliptic problemsby Marco Squassina - Electronic Journal of Differential Equations
A survey of results about existence, multiplicity, perturbation from symmetry and concentration phenomena for a class of quasi-linear elliptic equations coming from functionals of the calculus of variations which turn out to be merely continuous.
(9574 views)