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Beschreibung

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

Autor Luigi Ambrosio

Herausgeber Fabio Ancona

Autor Gianluca Crippa

Herausgeber Stefano Bianchini

Autor Camillo De Lellis

Herausgeber Rinaldo M. Colombo

Autor Felix Otto

Herausgeber Camillo De Lellis

Autor Michael Westdickenberg

Herausgeber Andrea Marson

Herausgeber Annamaria Montanari

Produktdetails

DUIN 3RRFRD5V4HC

GTIN 9783540767800

Veröffentlichungsdatum 28.01.2008

Sprache Englisch

Seitenanzahl 131

Produkttyp Taschenbuch

Größe 235 x 156 x 155  mm

Produktgewicht 237 g

Transport Equations and Multi-D Hyperbolic Conservation Laws

Luigi Ambrosio

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