Nonlinear Vibrations and the Wave Equation
This book gathers the revised lecture notes from a seminar course offered at the Federal University of Rio de Janeiro in 1986, then in Tokyo in 1987. An additional chapter has been added to reflect more recent advances in the field.
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Alain Haraux
Nonlinear Vibrations and the Wave Equation
SpringerBriefs in Mathematics Series editors Nicola Bellomo, Torino, Italy Michele Benzi, Atlanta, USA Palle Jorgensen, Iowa City, USA Tatsien Li, Shanghai, China Roderick Melnik, Waterloo, Canada Lothar Reichel, Kent, USA Otmar Scherzer, Vienna, Austria Benjamin Steinberg, New York, USA Yuri Tschinkel, New York, USA George Yin, Detroit, USA Ping Zhang, Kalamazoo, USA
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Alain Haraux
Nonlinear Vibrations and the Wave Equation
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Alain Haraux National Center for Scientific Research Université Pierre et Marie Curie Paris France
ISSN 2191-8198 ISSN 2191-8201 (electronic) SpringerBriefs in Mathematics ISBN 978-3-319-78514-1 ISBN 978-3-319-78515-8 (eBook) https://doi.org/10.1007/978-3-319-78515-8 Library of Congress Control Number: 2018938636 © The Author(s) 2018 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. The use of general descriptive names, registered names, trademarks, s
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