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 up-to-date overview of the status and perspectives of two areas of research in PDEs, related to hyperbolic conservation laws. Geometric and measure theoretic tools play a key role to obtain some fundamental advances: the well-posedness theory of linear transport equations with irregular coefficients, and the study of the BV-like structure of bounded entropy solutions to multi-dimensional scalar conservation laws. The volume contains surveys of recent deep results, provides an overview of further developments and related open problems, and will capture the interest of members both of the hyperbolic and the elliptic community willing to explore the intriguing interplays that link their worlds. Readers should have basic knowledge of PDE and measure theory.
Mitwirkende
AutorLuigi Ambrosio
HerausgeberFabio Ancona
AutorGianluca Crippa
HerausgeberStefano Bianchini
AutorCamillo De Lellis
HerausgeberRinaldo M. Colombo
AutorFelix Otto
HerausgeberCamillo De Lellis
AutorMichael Westdickenberg
HerausgeberAndrea Marson
HerausgeberAnnamaria Montanari
Produktdetails
DUIN3RRFRD5V4HC
GTIN9783540767800
Veröffentlichungsdatum28.01.2008
SpracheEnglisch
Seitenanzahl131
ProdukttypTaschenbuch
Größe
235 x 156 x 155
mm
Produktgewicht
237 g
Transport Equations and Multi-D Hyperbolic Conservation Laws
Luigi Ambrosio
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