On the optimality of velocity averaging lemmas.
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Publication:1412660
DOI10.1016/S0294-1449(03)00024-6zbMath1041.35019WikidataQ124851660 ScholiaQ124851660MaRDI QIDQ1412660
Camillo De Lellis, Michael Westdickenberg
Publication date: 25 November 2003
Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=AIHPC_2003__20_6_1075_0
KdV equations (Korteweg-de Vries equations) (35Q53) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Hyperbolic conservation laws (35L65) A priori estimates in context of PDEs (35B45)
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Cites Work
- Unnamed Item
- Unnamed Item
- Structure of entropy solutions for multi-dimensional scalar conservation laws
- Singular perturbation and the energy of folds
- Line energies for gradient vector fields in the plane
- A Kinetic Formulation of Multidimensional Scalar Conservation Laws and Related Equations
- Regularity in kinetic formulations via averaging lemmas
- Discontinuous solutions of non-linear differential equations
- A Fourier analytical characterization of the Hausdorff dimension of a closed set and of related Lebesgue spaces
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