Nonlocal and Nonlinear Diffusions and Interactions: New Methods and Directions
Presenting a selection of topics in the area of nonlocal and nonlinear diffusions, this book places a particular emphasis on new emerging subjects such as nonlocal operators in stationary and evolutionary problems and their applications, swarming models a
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José Antonio Carrillo · Manuel del Pino Alessio Figalli · Giuseppe Mingione Juan Luis Vázquez
Nonlocal and Nonlinear Diffusions and Interactions: New Methods and Directions Cetraro, Italy 2016 Matteo Bonforte · Gabriele Grillo Editors
Lecture Notes in Mathematics Editors-in-Chief Jean-Michel Morel, Cachan Bernard Teissier, Paris Advisory Board: Michel Brion, Grenoble Camillo De Lellis, Zurich Alessio Figalli, Zurich Davar Khoshnevisan, Salt Lake City Ioannis Kontoyiannis, Athens Gábor Lugosi, Barcelona Mark Podolskij, Aarhus Sylvia Serfaty, New York Anna Wienhard, Heidelberg
More information about this series at http://www.springer.com/series/304
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José Antonio Carrillo • Manuel del Pino • Alessio Figalli • Giuseppe Mingione • Juan Luis Vázquez
Nonlocal and Nonlinear Diffusions and Interactions: New Methods and Directions Cetraro, Italy 2016 Matteo Bonforte • Gabriele Grillo Editors
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Authors José Antonio Carrillo Department of Mathematics Imperial College London London, United Kingdom
Manuel del Pino Departamento de Ingeniería Matemática Universidad de Chile Santiago, Chile
Alessio Figalli Department of Mathematics ETH ZRurich ZRurich, Switzerland
Giuseppe Mingione Dipartimento di Matematica UniversitJa di Parma Parma, Italy
Juan Luis Vázquez Departamento de Matemáticas Universidad Autónoma de Madrid Madrid, Spain
Editors Matteo Bonforte Departamento de Matemáticas Universidad Autónoma de Madrid Madrid, Spain
ISSN 0075-8434 Lecture Notes in Mathematics C.I.M.E. Foundation Subseries ISBN 978-3-319-61493-9 DOI 10.1007/978-3-319-61494-6
Gabriele Grillo Dipartimento di Matematica Politecnico di Milano Milano, Italy
ISSN 1617-9692 (electronic) ISBN 978-3-319-61494-6 (eBook)
Library of Congress Control Number: 2017948030 Mathematics Subject Classification (2010): 35J60, 31C45, 26A33, 35K55, 35K65, 35S10 © 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 cl
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