Distributions in the Physical and Engineering Sciences, Volume 2 Lin

Distributions in the Physical and Engineering Sciences is a comprehensive exposition on analytic methods for solving science and engineering problems. It is written from the unifying viewpoint of distribution theory and enriched with many modern topics th

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Alexander I. Saichev ´ Wojbor A. Woyczynski

Distributions in the Physical and Engineering Sciences, Volume 2 Linear and Nonlinear Dynamics in Continuous Media

Applied and Numerical Harmonic Analysis Series Editor John J. Benedetto University of Maryland College Park, MD, USA Editorial Advisory Board Akram Aldroubi Vanderbilt University Nashville, TN, USA

ˇevic ´ Jelena Kovac Carnegie Mellon University Pittsburgh, PA, USA

Andrea Bertozzi University of California Los Angeles, CA, USA

Gitta Kutyniok Technische Universit¨at Berlin Berlin, Germany

Douglas Cochran Arizona State University Phoenix, AZ, USA

Mauro Maggioni Duke University Durham, NC, USA

Hans G. Feichtinger University of Vienna Vienna, Austria

Zuowei Shen National University of Singapore Singapore, Singapore

Christopher Heil Georgia Institute of Technology Atlanta, GA, USA

Thomas Strohmer University of California Davis, CA, USA

St´ephane Jaffard University of Paris XII Paris, France

Yang Wang Michigan State University East Lansing, MI, USA

For further volumes: http://www.springer.com/series/4968

Alexander I. Saichev • Wojbor A. Woyczy´nski

Distributions in the Physical and Engineering Sciences, Volume 2 Linear and Nonlinear Dynamics in Continuous Media

Alexander I. Saichev Department of Management, Technology, and Economics ETH Z¨urich Z¨urich, Switzerland Department of Radio Physics University of Nizhniy Novgorod Nizhniy Novgorod, Russia

Wojbor A. Woyczy´nski Department of Mathematics, Applied Mathematics and Statistics, and Center for Stochastic and Chaotic Processes in Science and Technology Case Western Reserve University Cleveland, OH, USA

Additional material to this book can be downloaded from http://extras.springer.com

ISBN 978-0-8176-3942-6 ISBN 978-0-8176-4652-3 (eBook) DOI 10.1007/978-0-8176-4652-3 Springer New York Heidelberg Dordrecht London Library of Congress Control Number: 96039028 Mathematics Subject Classification (2010): 31-02, 31Axx, 31Bxx, 35-02, 35Dxx, 35Jxx, 35Kxx, 35Lxx, 35Qxx, 70-02, 76-02, 76Lxx, 76Nxx, 76Sxx © Springer Science+Business Media New York 2013 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. Exempted from this legal reservation are brief excerpts in connection with reviews or scholarly analysis or material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Duplication of this publication or parts thereof is permitted only under the provisions of the Copyright Law of the Publisher’s location, in its current version, and permission for use must always be obtained from Springer. Permissions for use may be ob