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 up-to-date overview of the status and perspect...

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Bibliographic Details
Main Authors: Ambrosio, Luigi, Crippa, Gianluca (Author), De Lellis, Camillo (Author), Otto, Felix (Author)
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 2008, 2008
Edition:1st ed. 2008
Series:Lecture Notes of the Unione Matematica Italiana
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • I
  • Existence, Uniqueness, Stability and Differentiability Properties of the Flow Associated to Weakly Differentiable Vector Fields
  • II
  • A Note on Alberti's Rank-One Theorem
  • III
  • Regularizing Effect of Nonlinearity in Multidimensional Scalar Conservation Laws