Scattering theory for hyperbolic operators
Author(s)
Bibliographic Information
Scattering theory for hyperbolic operators
(Studies in mathematics and its applications, v. 21)
North-Holland , Distributors for the United States and Canada, Elsevier Science Pub. Co., 1989
Available at 37 libraries
  Aomori
  Iwate
  Miyagi
  Akita
  Yamagata
  Fukushima
  Ibaraki
  Tochigi
  Gunma
  Saitama
  Chiba
  Tokyo
  Kanagawa
  Niigata
  Toyama
  Ishikawa
  Fukui
  Yamanashi
  Nagano
  Gifu
  Shizuoka
  Aichi
  Mie
  Shiga
  Kyoto
  Osaka
  Hyogo
  Nara
  Wakayama
  Tottori
  Shimane
  Okayama
  Hiroshima
  Yamaguchi
  Tokushima
  Kagawa
  Ehime
  Kochi
  Fukuoka
  Saga
  Nagasaki
  Kumamoto
  Oita
  Miyazaki
  Kagoshima
  Okinawa
  Korea
  China
  Thailand
  United Kingdom
  Germany
  Switzerland
  France
  Belgium
  Netherlands
  Sweden
  Norway
  United States of America
Note
Includes bibliographical references
Description and Table of Contents
Description
Scattering Theory for dissipative and time-dependent systems has been intensively studied in the last fifteen years. The results in this field, based on various tools and techniques, may be found in many published papers.This monograph presents an approach which can be applied to spaces of both even and odd dimension. The ideas on which the approach is based are connected with the RAGE type theorem, with Enss' decomposition of the phase space and with a time-dependent proof of the existence of the operator W which exploits the decay of the local energy of the perturbed and free systems. Some inverse scattering problems for time-dependent potentials, and moving obstacles with an arbitrary geometry, are also treated in the book.
Table of Contents
Contraction Semigroups and Power Bounded Operators. The Cauchy Problem for the Wave Equation. Scattering Theory for Symmetric Systems with Dissipative Boundary Conditions. Disappearing Solutions for Symmetric Systems. Wave Equation with Time-Dependent Potential. Inverse Scattering Problem for Time-Dependent Potentials. Wave Equation in the Exterior of a Moving Obstacle. Leading Singularity of the Scattering Kernel. Appendices. References. Index.
by "Nielsen BookData"