Scattering Theory for Hyperbolic Operators, Volume 21

1st Edition

Authors: V. Petkov
Hardcover ISBN: 9780444880567
eBook ISBN: 9780080875422
Imprint: North Holland
Published Date: 20th November 1989
Page Count: 374
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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.

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.


Details

No. of pages:
374
Language:
English
Copyright:
© North Holland 1989
Published:
Imprint:
North Holland
eBook ISBN:
9780080875422
Hardcover ISBN:
9780444880567

Reviews

@from:M. Pascu @qu:In our opinion this book is particularly useful to the mathematicians and physicians interested in scattering problems. @source:Bulletin Mathematique de la Societe des Sciences Mathematiques de Roumaine @from:V. Vogelsang @qu:This comprehensive extension of the classical books of Lax-Phillips and Reed-Simon can be heartily recommended to anyone studying scattering theory. @source:Mathematical Reviews


About the Authors

V. Petkov Author