Trends in Control Theory and Partial Differential Equations

This book presents cutting-edge contributions in the areas of control theory and partial differential equations. Over the decades, control theory has had deep and fruitful interactions with the theory of partial differential equations (PDEs). Well-known e

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Fatiha Alabau-Boussouira Fabio Ancona Alessio Porretta Carlo Sinestrari Editors

Trends in Control Theory and Partial Differential Equations

Springer INdAM Series Volume 32

Editor-in-Chief Giorgio Patrizio, Università di Firenze, Florence, Italy Series Editors Claudio Canuto, Politecnico di Torino, Turin, Italy Giulianella Coletti, Università di Perugia, Perugia, Italy Graziano Gentili, Università di Firenze, Florence, Italy Andrea Malchiodi, SISSA - Scuola Internazionale Superiore di Studi Avanzati, Trieste, Italy Paolo Marcellini, Università di Firenze, Florence, Italy Emilia Mezzetti, Università di Trieste, Trieste, Italy Gioconda Moscariello, Università di Napoli “Federico II”, Naples, Italy Tommaso Ruggeri, Università di Bologna, Bologna, Italy

Springer INdAM Series This series will publish textbooks, multi-authors books, thesis and monographs in English language resulting from workshops, conferences, courses, schools, seminars, doctoral thesis, and research activities carried out at INDAM - Istituto Nazionale di Alta Matematica, http://www.altamatematica.it/en. The books in the series will discuss recent results and analyze new trends in mathematics and its applications. THE SERIES IS INDEXED IN SCOPUS

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

Fatiha Alabau-Boussouira Fabio Ancona Alessio Porretta Carlo Sinestrari •





Editors

Trends in Control Theory and Partial Differential Equations

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Editors Fatiha Alabau-Boussouira Laboratoire Jacques-Louis Lions UMR 7598 Sorbonne Université Paris, France Département de Mathématiques Université de Lorraine Metz, France Alessio Porretta Dipartimento di Matematica Università di Roma “Tor Vergata” Rome, Italy

Fabio Ancona Dipartimento di Matematica “Tullio Levi-Civita” Università degli Studi di Padova Padua, Italy Carlo Sinestrari Dipartimento di Ingegneria Civile e Ingegneria Informatica Università di Roma “Tor Vergata” Rome, Italy

ISSN 2281-518X ISSN 2281-5198 (electronic) Springer INdAM Series ISBN 978-3-030-17948-9 ISBN 978-3-030-17949-6 (eBook) https://doi.org/10.1007/978-3-030-17949-6 © 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 publicatio