On Kolmogorov Entropy Compactness Estimates for Scalar Conservation Laws Without Uniform Convexity
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Publication:5231333
DOI10.1137/18M1198090zbMath1435.35242arXiv1806.07758OpenAlexW2962682148WikidataQ114847152 ScholiaQ114847152MaRDI QIDQ5231333
Khai T. Nguyen, Olivier Glass, Fabio Ancona
Publication date: 26 August 2019
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1806.07758
Hyperbolic conservation laws (35L65) Qualitative properties of solutions to partial differential equations (35B99) Initial value problems for first-order hyperbolic equations (35L03)
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Cites Work
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- A regularity theorem for a non-convex scalar conservation law
- On compactness estimates for hyperbolic systems of conservation laws
- Continuous solutions for balance laws
- The space BV is not enough for hyperbolic conservation laws
- Compactness estimates for Hamilton-Jacobi equations depending on space
- A quantitative compactness estimate for scalar conservation laws
- Hyperbolic systems of conservation laws II
- Isentropic solutions of quasilinear equations of the first order
- AN EXTENSION OF OLEINIK's INEQUALITY FOR GENERAL 1D SCALAR CONSERVATION LAWS
- Covering numbers for real-valued function classes
- Regularity estimates for scalar conservation laws in one space dimension
- FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES
- Weak solutions of nonlinear hyperbolic equations and their numerical computation
- Hyperbolic Conservation Laws in Continuum Physics
- Quantitative compactness estimates for Hamilton-Jacobi equations