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130626 ||| eng |
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|a 9783540767817
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| 100 |
1 |
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|a Ambrosio, Luigi
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| 245 |
0 |
0 |
|a Transport Equations and Multi-D Hyperbolic Conservation Laws
|h Elektronische Ressource
|c by Luigi Ambrosio, Gianluca Crippa, Camillo De Lellis, Felix Otto, Michael Westdickenberg ; edited by Fabio Ancona, Stefano Bianchini, Rinaldo M. Colombo, Camillo De Lellis, Andrea Marson, Annamaria Montanari
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| 250 |
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|a 1st ed. 2008
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| 260 |
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|a Berlin, Heidelberg
|b Springer Berlin Heidelberg
|c 2008, 2008
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| 300 |
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|a XIV, 131 p
|b online resource
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| 505 |
0 |
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|a 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
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| 653 |
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|a Measure theory
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| 653 |
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|a Calculus of Variations and Optimization
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| 653 |
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|a Measure and Integration
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| 653 |
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|a Differential Equations
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| 653 |
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|a Mathematical optimization
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| 653 |
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|a Differential equations
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| 653 |
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|a Calculus of variations
|
| 700 |
1 |
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|a Crippa, Gianluca
|e [author]
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| 700 |
1 |
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|a De Lellis, Camillo
|e [author]
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| 700 |
1 |
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|a Otto, Felix
|e [author]
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| 041 |
0 |
7 |
|a eng
|2 ISO 639-2
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| 989 |
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|b Springer
|a Springer eBooks 2005-
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| 490 |
0 |
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|a Lecture Notes of the Unione Matematica Italiana
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| 028 |
5 |
0 |
|a 10.1007/978-3-540-76781-7
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| 856 |
4 |
0 |
|u https://doi.org/10.1007/978-3-540-76781-7?nosfx=y
|x Verlag
|3 Volltext
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| 082 |
0 |
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|a 515.35
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| 520 |
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|a 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
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