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Editorial Board

Franco Brezzi (Editor in Chief) IMATI-CNR Via Ferrata 5a 27100 Pavia, Italy e-mail: [email protected] John M. Ball Mathematical Institute 24-29 St Giles' Oxford OX1 3LB United Kingdom e-mail: [email protected] Alberto Bressan Department of Mathematics Penn State University University Park State College PA. 16802, USA e-mail: [email protected] Fabrizio Catanese Mathematisches Institut Universitätstraße 30 95447 Bayreuth, Germany e-mail: [email protected] Carlo Cercignani Dipartimento di Matematica Politecnico di Milano Piazza Leonardo da Vinci 32 20133 Milano, Italy e-mail: [email protected] Corrado De Concini Dipartimento di Matematica Università di Roma "La Sapienza" Piazzale Aldo Moro 5 00185 Roma, Italy e-mail: [email protected]

Persi Diaconis Department of Statistics Stanford University 450 Serra Mall Stanford, CA 94305-4065, USA e-mail: [email protected], [email protected] Nicola Fusco Dipartimento di Matematica e Applicazioni Università di Napoli "Federico II", via Cintia Complesso Universitario di Monte S.Angelo 80126 Napoli, Italy e-mail [email protected] Carlos E. Kenig Department of Mathematics University of Chicago 5734 University Avenue Chicago, IL 60637-1514 USA e-mail: [email protected] Fulvio Ricci Scuola Normale Superiore di Pisa Piazza dei Cavalieri 7 56126 Pisa, Italy e-mail: [email protected] Gerard Van der Geer Korteweg-de Vries Instituut Universiteit van Amsterdam Plantage Muidergracht 24 1018 TV Amsterdam, The Netherlands e-mail: [email protected] Cédric Villani Institut Henri Poincaré 11 rue Pierre et Marie Curie 75230 Paris Cedex 05 France e-mail: [email protected]

The Editorial Policy can be found at the back of the volume.

Luc Tartar

The General Theory of Homogenization A Personalized Introduction

123

Luc Tartar Carnegie Mellon University Department of Mathematical Sciences Pittsburgh, PA, 15213 U.S.A. [email protected]

ISSN 1862-9113 ISBN 978-3-642-05194-4 e-ISBN 978-3-642-05195-1 DOI 10.1007/978-3-642-05195-1 Springer Heidelberg Dordrecht London New York Library of Congress Control Number: 2009941069 Mathematics Subject Classification (2000): 35J99, 35K99, 35L99, 35S99, 74Q05, 74Q10, 74Q15, 74Q20, 76A99 c Springer-Verlag Berlin Heidelberg 2009  This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer. Violations are liable to prosecution under the German Copyright Law. The use of general descriptive names, registered names, trademarks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the

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