Moving Interfaces and Quasilinear Parabolic Evolution Equations
In this monograph, the authors develop a comprehensive approach for the mathematical analysis of a wide array of problems involving moving interfaces. It includes an in-depth study of abstract quasilinear parabolic evolution equations, elliptic and parabo
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Jan Prüss Gieri Simonett
Moving Interfaces and Quasilinear Parabolic Evolution Equations
Monographs in Mathematics Vol. 105
Managing Editors: H. Amann Universität Zürich, Switzerland J.-P. Bourguignon IHES, Bures-sur-Yvette, France W.Y.C. Chen Nankai University, China K. Grove University of Notre Dame, Notre Dame, IN, USA A. Vasil’ev University of Bergen, Norway Associate Editors: H. Araki, Kyoto University F. Brezzi, Università di Pavia K.C. Chang, Peking University N. Hitchin, University of Warwick H. Hofer, Courant Institute, New York H. Knörrer, ETH Zürich K. Masuda, University of Tokyo D. Zagier, Max-Planck-Institut Bonn More information about this series at http://www.springer.com/series/4843
Jan Prüss Gieri Simonett •
Moving Interfaces and Quasilinear Parabolic Evolution Equations
Jan Prüss Institut für Mathematik Martin-Luther-Universität Halle-Wittenberg Halle Germany
ISSN 1017-0480 Monographs in Mathematics ISBN 978-3-319-27697-7 DOI 10.1007/978-3-319-27698-4
Gieri Simonett Department of Mathematics Vanderbilt University Nashville, TN USA
ISSN 2296-4886
(electronic)
ISBN 978-3-319-27698-4
(eBook)
Library of Congress Control Number: 2016940884 Mathematics Subject Classification (2010): 35B35, 35B65, 35J48, 35K41, 35K22, 35K55, 35K59, 35K90, 35K93, 35Q30, 35Q35, 35Q79, 35R35, 42B15, 46E40, 47A60, 47F05, 53C44, 76D03, 76D05, 76D07, 76D45, 76T05, 80A22 © Springer International Publishing Switzerland 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 book is published under the trade name Birkhäuser The registered company is Springer International Publishing AG Switzerland (www.birkhauser-science.com)
Preface Moving interfaces – and in the stationary case, free boundaries – are ubiquitous in our environment and daily life. They are at the basis of many physical, chemical, and also biological processes. Typically, a moving boundary problem consists of one or more partial differential equations which have to be solved in a d
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