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Pierluigi Colli Angelo Favini Elisabetta Rocca Giulio Schimperna Jürgen Sprekels Editors

Solvability, Regularity, and Optimal Control of Boundary Value Problems for PDEs In Honour of Prof. Gianni Gilardi

Springer INdAM Series Volume 22

Editor-in-Chief G. Patrizio

Series Editors C. Canuto G. Coletti G. Gentili A. Malchiodi P. Marcellini E. Mezzetti G. Moscariello T. Ruggeri

More information about this series at http://www.springer.com/series/10283

Pierluigi Colli • Angelo Favini • Elisabetta Rocca • Giulio Schimperna • JRurgen Sprekels Editors

Solvability, Regularity, and Optimal Control of Boundary Value Problems for PDEs In Honour of Prof. Gianni Gilardi

123

Editors Pierluigi Colli Dipartimento di Matematica UniversitJa di Pavia Pavia, Italy

Angelo Favini Dipartimento di Matematica UniversitJa di Bologna Bologna, Italy

Elisabetta Rocca Dipartimento di Matematica Università di Pavia Pavia, Italy

Giulio Schimperna Dipartimento di Matematica Università di Pavia Pavia, Italy

JRurgen Sprekels Weierstraß-Institut für Angewandte Analysis und Stochastik (WIAS) Berlin, Germany Department of Mathematics Humboldt-Universität zu Berlin Berlin, Germany

ISSN 2281-518X Springer INdAM Series ISBN 978-3-319-64488-2 DOI 10.1007/978-3-319-64489-9

ISSN 2281-5198

(electronic)

ISBN 978-3-319-64489-9

(eBook)

Library of Congress Control Number: 2017956717 © Springer International Publishing AG 2017 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. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. Printed on acid-free paper This Springer imprint is published by Springer Nature The registered company is Springer International Publishing AG The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland

Preface

This special volume is dedicated to Gianni Gilardi on the occasion of his 70th birthday, in tribute to his important achievements in respect of several theoretical and applied problems, espe