tailieunhanh - Transport Equations and Multi-D Hyperbolic Conservation Laws

This book collects the lecture notes of two courses and one mini-course held in a winter school in Bologna in January 2005. The aim of this school was to popularize techniques of geometric measure theory among researchers and PhD students in hyperbolic differential equations. Though initially developed in the context of the calculus of variations, many of these techniques have proved to be quite powerful for the treatment of some hyperbolic problems. Obviously, this point of view can be reversed:We hope that the topics of these notes will also capture the interest of some members of the elliptic community, willing to explore the links to the hyperbolic world | Lecture Notes of the Unione Mate matico Italiano Luigi Ambrosio Gianluca Crippa Camillo De Lellis Felix Otto Michael Westdickenberg Transport Equations and Multi-D Hyperbolic Conservation Laws ZJ Springer UMI Lecture Notes of the Unione Matematica Italiana 5 Editorial Board Franco Brezzi Editor in Chief Dipartimento di Matematica Universita di Pavia Via Ferrata I 27100 Pavia Italy e-mail brezzi@ John M. Ball Mathematical Institute 24-29 St Giles Oxford OX1 3LB United Kingdom e-mail ball@. . Alberto Bressan Department of Mathematics Penn State University University Park State College PA 16802 UsA e-mail bressan@ Fabrizio Catanese Mathematisches Institut UniversitatstraBe 30 95447 Bayreuth Germany e-mail Carlo Cercignani Dipartimento di Matematica Politecnico di Milano Piazza Leonardo da Vinci 32 20133 Milano Italy e-mail carcer@ Corrado De Concini Dipartimento di Matematica Università di Roma La Sapienza Piazzale Aldo Moro 2 00133 Roma Italy e-mail deconcini@ Persi Diaconis Department of Statistics Stanford University Stanford CA94305-4065 USA e-mail diacoms@. tagaman@ 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 nfusco@ Carlos E. Kenig Department of Mathematics University of Chicago 1118 E58th Street University Avenue Chicago IL 60637 USA e-mail cek@ Fulvio Ricci Scuola Normale Superiore di Pisa Plazza dei Cavalieri 7 56126 Pisa Italy e-mail fricci@ Gerard Van der Geer Korteweg-de Vries Instituut Universiteit van Amsterdam Plantage Muidergracht 24 1018 TV Amsterdam The Netherlands e-mail geer@ Cédric Villani Ecole Normale Supérieure de Lyon 46 allée d Italie 69364 Lyon Cedex 07 France e-mail The Editorial Policy can be found at the back of