Control and Nash Games with Mean Field Effect
Mean field theory has raised a lot of interest in the recent years (see in particular the results of Lasry-Lions in 2006 and 2007, of Gueant-Lasry-Lions in 2011, of Huang-Caines-Malham in 2007 and many others). There are a lot of applications. In general,
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Partial Differential Equations: Theory, Control and Approximation In Honor of the Scientific Heritage of Jacques-Louis Lions
Partial Differential Equations: Theory, Control and Approximation
Jacques-Louis Lions in 1998
Philippe G. Ciarlet r Tatsien Li r Yvon Maday Editors
Partial Differential Equations: Theory, Control and Approximation In Honor of the Scientific Heritage of Jacques-Louis Lions
Editors Philippe G. Ciarlet Dept. Mathematics City University of Hong Kong Hong Kong, People’s Republic of China
Yvon Maday Laboratoire Jacques-Louis Lions Université Pierre et Marie Paris, France
Tatsien Li School of Mathematical Sciences Fudan University Shanghai, People’s Republic of China
ISBN 978-3-642-41400-8 ISBN 978-3-642-41401-5 (eBook) DOI 10.1007/978-3-642-41401-5 Springer Dordrecht Heidelberg New York London Library of Congress Control Number: 2013953853 Mathematics Subject Classification: 35-XX, 49-XX, 65-XX © Springer-Verlag Berlin Heidelberg 2014 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 obtained through RightsLink at the Copyright Clearance Center. Violations are liable to prosecution under the respective Copyright Law. 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. While the advice and information in this book are believed to be true and accurate at the date of publication, neither the authors nor the editors nor the publisher can accept any legal responsibility for any errors or omissions that may be made. The publisher makes no warranty, express or implied, with respect to the material contained herein. Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)
Preface
Jacques-Louis Lions (1928–2001) was an exceptional mathematician, whose lasting influence is still deeply felt all over the world. He was a universally recognized and admired expert in partial differential equations, to the study of which he has made
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