Transport Equations and Multi-D Hyperbolic Conservation Laws
The theory of nonlinear hyperbolic equations in several space dimensions has recently obtained remarkable achievements thanks to ideas and techniques related to the structure and fine properties of functions of bounded variation. This volume provides an u
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Luigi Ambrosio Gianluca Crippa Camillo De Lellis Felix Otto Michael Westdickenberg
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Transport Equations and Multi-D Hyperbolic Conservation Laws
Lecture Notes of the Unione Matematica Italiana
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Editorial Board
Franco Brezzi (Editor in Chief) Dipartimento di Matematica Universita di Pavia Via Ferrata I 27100 Pavia, Italy e-mail: [email protected] John M. Ball Mathematical Institute 24-29 St Giles’ Oxford OX1 3LB United Kingdom e-mail: [email protected] Alberto Bressan Department of Mathematics Penn State University University Park State College PA 16802, USA e-mail: [email protected] Fabrizio Catanese Mathematisches Institut Universitatstraße 30 95447 Bayreuth, Germany e-mail: [email protected] Carlo Cercignani Dipartimento di Matematica Politecnico di Milano Piazza Leonardo da Vinci 32 20133 Milano, Italy e-mail: [email protected] Corrado De Concini Dipartimento di Matematica Università di Roma “La Sapienza” Piazzale Aldo Moro 2 00133 Roma, Italy e-mail: [email protected]
Persi Diaconis Department of Statistics Stanford University Stanford, CA 94305-4065, USA e-mail: [email protected], [email protected] Nicola Fusco Dipartimento di Matematica e Applicazioni Università di Napoli “Federico II”, via Cintia Complesso Universitario di Monte S. Angelo 80126 Napoli, Italy e-mail: [email protected] Carlos E. Kenig Department of Mathematics University of Chicago 1118 E 58th Street, University Avenue Chicago IL 60637, USA e-mail: [email protected] Fulvio Ricci Scuola Normale Superiore di Pisa Plazza dei Cavalieri 7 56126 Pisa, Italy e-mail: [email protected] Gerard Van der Geer Korteweg-de Vries Instituut Universiteit van Amsterdam Plantage Muidergracht 24 1018 TV Amsterdam, The Netherlands e-mail: [email protected] Cédric Villani Ecole Normale Supérieure de Lyon 46, allée d’Italie 69364 Lyon Cedex 07 France e-mail: [email protected]
The Editorial Policy can be found at the back of the volume.
Luigi Ambrosio • Gianluca Crippa Camillo De Lellis • Felix Otto Michael Westdickenberg
Transport Equations and Multi-D Hyperbolic Conservation Laws Editors Fabio Ancona Stefano Bianchini Rinaldo M. Colombo Camillo De Lellis Andrea Marson Annamaria Montanari
ABC
Authors Luigi Ambrosio
Felix Otto
[email protected]
[email protected]
Gianluca Crippa
Michael Westdickenberg
[email protected]
[email protected]
Camillo De Lellis [email protected]
Editors Fabio Ancona
Camillo De Lellis
[email protected]
[email protected]
Stefano Bianchini
Andrea Marson
[email protected]
[email protected]
Rinaldo M. Colombo
Annamaria Montanari
[email protected]
[email protected]
ISBN 978-3-540-76780-0
e-ISBN 978-3-540-76781-7
DOI 10.1007/978-3-540-76781-7 Lecture Notes of the Unione Matematica Italiana ISSN print edition: 1862-9113 ISSN electronic edition: 1862-9121 Library of Congress Control Number: 2007939405 Mathematics Subject Classification (2000): 35L45, 35L40, 35L65, 34A12, 49Q20, 28A75 c 2008 Springer-Ve
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