Regularity estimates for scalar conservation laws in one space dimension
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Publication:5237463
DOI10.1142/S0219891618500200zbMath1437.35492arXiv1708.07687MaRDI QIDQ5237463
Publication date: 18 October 2019
Published in: Journal of Hyperbolic Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1708.07687
Smoothness and regularity of solutions to PDEs (35B65) Hyperbolic conservation laws (35L65) A priori estimates in context of PDEs (35B45) Initial value problems for first-order hyperbolic systems (35L45)
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Cites Work
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- On the concentration of entropy for scalar conservation laws
- SBV regularity for genuinely nonlinear, strictly hyperbolic systems of conservation laws in one space dimension
- Finer regularity of an entropy solution for 1-d scalar conservation laws with non uniform convex flux
- Initial-boundary value problems for nonlinear systems of conservation laws
- A regularity theorem for a non-convex scalar conservation law
- \(L^ p\) regularity of velocity averages
- On the optimality of velocity averaging lemmas.
- The rectifiability of entropy measures in one space dimension.
- Structure of entropy solutions for multi-dimensional scalar conservation laws
- Fractional spaces and conservation laws
- Quadratic interaction functional for general systems of conservation laws
- On the structure of \({L^\infty}\)-entropy solutions to scalar conservation laws in one-space dimension
- Smoothing effect in \(BV_{\Phi}\) for entropy solutions of scalar conservation laws
- On a quadratic functional for scalar conservation laws
- First order quasilinear equations with boundary conditions
- On generalized variations (I)
- A Kinetic Formulation of Multidimensional Scalar Conservation Laws and Related Equations
- A NOTE ON ADMISSIBLE SOLUTIONS OF 1D SCALAR CONSERVATION LAWS AND 2D HAMILTON–JACOBI EQUATIONS
- Regularity and large time behaviour of solutions of a conservation law without convexity
- Fractional BV spaces and applications to scalar conservation laws
- Discontinuous solutions of non-linear differential equations
- Hyperbolic Conservation Laws in Continuum Physics