Exact Boundary Controllability of Nodal Profile for Quasilinear Hyperbolic Systems
This book provides a comprehensive overview of the exact boundary controllability of nodal profile, a new kind of exact boundary controllability stimulated by some practical applications. This kind of controllability is useful in practice as it
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Tatsien Li Ke Wang Qilong Gu
Exact Boundary Controllability of Nodal Profile for Quasilinear Hyperbolic Systems 123
SpringerBriefs in Mathematics Series editors Nicola Bellomo Michele Benzi Palle E.T. Jorgensen Tatsien Li Roderick Melnik Lothar Reichel Otmar Scherzer Benjamin Steinberg Yuri Tschinkel G. George Yin Ping Zhang
SpringerBriefs in Mathematics showcases expositions in all areas of mathematics and applied mathematics. Manuscripts presenting new results or a single new result in a classical field, new field, or an emerging topic, applications, or bridges between new results and already published works, are encouraged. The series is intended for mathematicians and applied mathematicians.
More information about this series at http://www.springer.com/series/10030
Tatsien Li Ke Wang Qilong Gu •
•
Exact Boundary Controllability of Nodal Profile for Quasilinear Hyperbolic Systems
123
Qilong Gu School of Mathematical Sciences Shanghai Jiao Tong University Shanghai China
Tatsien Li School of Mathematical Sciences Fudan University Shanghai China Ke Wang College of Science Donghua University Shanghai China
ISSN 2191-8198 SpringerBriefs in Mathematics ISBN 978-981-10-2841-0 DOI 10.1007/978-981-10-2842-7
ISSN 2191-8201
(electronic)
ISBN 978-981-10-2842-7
(eBook)
Library of Congress Control Number: 2016954709 Mathematics Subject Classification (2010): 93B05, 35L50, 35L05, 35L72 © The Author(s) 2016 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, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. Printed on acid-free paper This Springer imprint is published by Springer Nature The registered company is Springer Nature Singapore Pte Ltd. The registered company address is: 152 Beach Road, #22-06/08 Gateway East, Singapore 189721, Singapore
Preface
The exact boundary controllability of hyperbolic systems is of great importance in both theory and applications. A complete theory on the local exact boundary controllability for 1-D quasilinear hyperbolic systems has been established by means of a constructive method with m
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