A nonlinear functional for general scalar hyperbolic conservation laws

DOI10.1016/j.jde.2007.01.011zbMath1168.35392OpenAlexW2095571746MaRDI QIDQ878550

Hongxia Liu, Tong Yang

Publication date: 26 April 2007

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2007.01.011

zbMATH Keywords

\(L^1\) estimatesgeneral scalar conservation lawsgeneralized entropy functionalGlimm's functional

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65)

Related Items (1)

A new nonlinear functional for general scalar conservation laws

Cites Work

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• No L 1 -Contractive Metrics for Systems of Conservation Laws
• 𝐿₁ stability for 2×2 systems of hyperbolic conservation laws
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• Uniqueness and stability of the generalized solution of the Cauchy problem for a quasi-linear equation
• Solutions in the large for nonlinear hyperbolic systems of equations
• Solutions with shocks: An example of an L₁‐contractive semigroup

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