Functional Analytic Properties of Multi-Layer Potentials and Boundary Value Problems
This chapter has a twofold goal. In a first stage, we shall study the Fredholm properties of multi-layer potentials introduced in earlier chapters, while in a second stage we shall proceed to use these results as a tool for establishing the well-posedness
- PDF / 4,318,595 Bytes
- 430 Pages / 439.36 x 666.15 pts Page_size
- 16 Downloads / 190 Views
For further volumes: http://www.springer.com/series/304
2063
•
Irina Mitrea
Marius Mitrea
Multi-Layer Potentials and Boundary Problems for Higher-Order Elliptic Systems in Lipschitz Domains
123
Irina Mitrea Temple University Department of Mathematics Philadelphia, PA, USA
Marius Mitrea University of Missouri Department of Mathematics Columbia, MO, USA
ISBN 978-3-642-32665-3 ISBN 978-3-642-32666-0 (eBook) DOI 10.1007/978-3-642-32666-0 Springer Heidelberg New York Dordrecht London Lecture Notes in Mathematics ISSN print edition: 0075-8434 ISSN electronic edition: 1617-9692 Library of Congress Control Number: 2012951623 Mathematics Subject Classification (2010): 35C15, 35G45, 35J48, 35J58, 35J08, 35B30, 31B10, 31B30 c Springer-Verlag Berlin Heidelberg 2013 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)
Dedicat˘a cu mult drag familiei noastre
•
Preface
Layer potentials constitute one of the most powerful tools in the treatment of boundary value problems associated with (elliptic and parabolic) partial differential equations (PDEs). They have been traditionally employed in the context of secondorder PDE, and one of the main goals of this monograph is to systematically develop a multilayer theory applicable to the higher-order setting. This extens
Data Loading...
