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Presenting research from more than 30 international authorities, this reference provides a complete arsenal of tools and theorems to analyze systems of hyperbolic partial differential equations. The authors investigate a wide variety of problems in areas such as thermodynamics, electromagnetics, fluid dynamics, differential geometry, and topology. Renewing thought in the field of mathematical physics, "Hyperbolic Differential Operators" defines the notion of pseudosymmetry for matrix symbols of order zero as well as the notion of time function. Surpassing previously published material on the topic, this text is key for researchers and mathematicians specializing in hyperbolic, Schrodinger, Einstein, and partial differential equations; complex analysis; and mathematical physics.
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Hyperbolic Differential Operators and Related Problems edited by
Vincenzo Ancona Universita degli Studi di Firenze Florence, Italy
Jean Vaillant Universite Pierre et Marie Curie, Paris VI Paris, France
MARCEL DEKKER, INC.
NEW YORK • BASEL
Library of Congress Cataloging-in-Publication Data A catalog record for this book is available from the Library of Congress. ISBN: 0-8247-0963-2 This book is printed on acid-free paper. Headquarters Marcel Dekker, Inc. 270 Madison Avenue, New York, NY 10016 tel: 212-696-9000; fax: 212-685-4540 Eastern Hemisphere Distribution Marcel Dekker AG Hutgasse 4, Postfach 812, CH-4001 Basel, Switzerland tel: 41-61-260-6300; fax: 41-61-260-6333 World Wide Web http://www.dekker.com The publisher offers discounts on this book when ordered in bulk quantities. For more information, write to Special Sales/Professional Marketing at the headquarters address above.
Copyright © 2003 by Marcel Dekker, Inc. AH Rights Reserved. Neither this book nor any part may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopying, microfilming, and recording, or by any information storage and retrieval system, without permission in writing from the publisher. Current printing (last digit): 10 9 8 7 6 5 4 3 2 1 PRINTED IN THE UNITED STATES OF AMERICA
PURE AND APPLIED MATHEMATICS A Program of Monographs, Textbooks, and Lecture Notes
EXECUTIVE EDITORS Earl J. Taft Rutgers University New Brunswick, New Jersey
Zuhair Nashed University of Delaware Newark, Delaware
EDITORIAL BOARD M. S. Baouendi University of California, San Diego JaneCronin Rutgers University Jack K. Hale Georgia Institute of Technology
Anil Nerode Cornell University Donald Passman University of Wisconsin, Madison Fred S. Roberts Rutgers University
S. Kobayashi University of California, Berkeley
David L. Russell Virginia Polytechnic Institute and State University
Marvin Marcus University of California, Santa Barbara
Walter Schempp Universitdt Siegen
W. S. Massey Yale University
Mark Teply University of Wisconsin, Milwaukee
LECTURE NOTES IN PURE AND APPLIED MATHEMATICS
1. N. Jacobson, Exceptional Lie Algebras 2. L-A Lindahl and F. Poulsen, Thin Sets in Harmonic Analysis 3. /. Satake, Classification Theory of Semi-Simple Algebraic Groups 4. F. Hirzebnich et a/., Differentiable Manifolds and Quadratic Forms 5. I. Chavel, Riemannian Symmetric Spaces of Rank One 6. R. B. Burckel, Characterization of C(X) Among Its Subalgebras 7. B. R. McDonald et a/., Ring Theory 8. Y.-T. Siu, Techniques of Extension on Analytic Objects 9. S. R. Caradus et a/., Calkin Algebras and Algebras of Operators on Banach Spaces 10. E. O. Roxin et a/., Differential Games and Control Theory 11. M. Orzech and C. Small, The Brauer Group of Commutative Rings 12. S. Thornier, Topology and Its Applications 13. J. M. Lopez and K. A. Ross, Sidon Sets 14. W. W. Comfort and S. Negrepontis, Continuous Pseud