Linear and Quasilinear Parabolic Problems Volume II: Function Spaces
This volume discusses an in-depth theory of function spaces in an Euclidean setting, including several new features, not previously covered in the literature. In particular, it develops a unified theory of anisotropic Besov and Bessel potential spaces on
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Herbert Amann
Linear and Quasilinear Parabolic Problems Volume II: Function Spaces
Monographs in Mathematics Vol. 106
Series Editors: Herbert Amann Universität Zürich, Zürich, Switzerland Jean-Pierre Bourguignon IHES, Bures-sur-Yvette, France William Y. C. Chen Nankai University, Tianjin, China Associate Editors: Huzihiro Araki, Kyoto University, Kyoto, Japan John Ball, Heriot-Watt University, Edinburgh, UK Franco Brezzi, Università degli Studi di Pavia, Pavia, Italy Kung Ching Chang, Peking University, Beijing, China Nigel Hitchin, University of Oxford, Oxford, UK Helmut Hofer, Courant Institute of Mathematical Sciences, New York, USA Horst Knörrer, ETH Zürich, Zürich, Switzerland Don Zagier, Max-Planck-Institute, Bonn, Germany The foundations of this outstanding book series were laid in 1944. Until the end of the 1970s, a total of 77 volumes appeared, including works of such distinguished mathematicians as Carathéodory, Nevanlinna and Shafarevich, to name a few. The series came to its name and present appearance in the 1980s. In keeping its well-established tradition, only monographs of excellent quality are published in this collection. Comprehensive, in-depth treatments of areas of current interest are presented to a readership ranging from graduate students to professional mathematicians. Concrete examples and applications both within and beyond the immediate domain of mathematics illustrate the import and consequences of the theory under discussion.
More information about this series at http://www.springer.com/series/4843
Herbert Amann
Linear and Quasilinear Parabolic Problems Volume II: Function Spaces
Herbert Amann Institut für Mathematik Universität Zürich Zürich, Switzerland
ISSN 1017-0480 ISSN 2296-4886 (electronic) Monographs in Mathematics ISBN 978-3-030-11762-7 ISBN 978-3-030-11763-4 (eBook) https://doi.org/10.1007/978-3-030-11763-4 Library of Congress Control Number: 2019932606 Mathematics Subject Classification (2010): 46E35, 46E40, 46F05 © Springer Nature Switzerland AG 2019 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
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