Spectral and scattering theory for second order partial differential operators /

"The book is intended for students of graduate and postgraduate level, researchers in mathematical sciences as well as those who want to apply the spectral theory of second order differential operators in exterior domains to their own field. In the first half of this book, the classical results...

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Bibliographic Details
Main Author:	Mochizuki, Kiyoshi, 1939- (Author)
Corporate Author:	Taylor & Francis
Format:	eBook
Language:	English
Published:	Boca Raton, FL : CRC Press, [2017]
Series:	Monographs and research notes in mathematics.
Subjects:	Spectral theory (Mathematics) Differential equations. Spectre (Mathématiques) Équations différentielles. MATHEMATICS > Calculus. MATHEMATICS > Mathematical Analysis. Differential equations Electronic books.
Online Access:	Connect to the full text of this electronic book

Table of Contents:

Introduction
Second-order elliptic operators in exterior domain
Essential spectrum of self-adjoint operators
Statinary equations and functional identities
Growth properties of generalized eigenfunctions
Principle of limiting absorption and absolute continuity
Spectral representations and scattering for short-range pertubations
Spectral representations and scattering 2, "long-range" perturbations
One dimensional schrödinger operators
Uniform resolvent estimates and smoothing properties
Scattering for time dependent perturbations
Strichartz estimates for perturbed equations
Another approach to growth properties of generalized Eigenfunctions.