On Φ-variation for 1-d scalar conservation laws

DOI10.1142/S0219891620500277zbMath1471.35199OpenAlexW3128026077WikidataQ115245179 ScholiaQ115245179MaRDI QIDQ5006980

Helge Kristian Jenssen, Johanna Ridder

Publication date: 18 August 2021

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

Full work available at URL: https://doi.org/10.1142/s0219891620500277

zbMATH Keywords

front-tracking approximationstime continuityregulated solutions

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Initial value problems for first-order hyperbolic equations (35L03)

Related Items (2)

Entropy solutions to a non-conservative and non-strictly hyperbolic diagonal system inspired by dislocation dynamics ⋮ Entropy Solutions in $BV^s$ for a Class of Triangular Systems Involving a Transport Equation

Cites Work

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• Differentiability of six operators on nonsmooth functions and \(p\)-variation. With the collaboration of Jinghua Qian
• On generalized variations (I)
• One-Dimensional Scalar Conservation Laws with Regulated Data
• The Structure of Regulated Functions
• Fractional BV spaces and applications to scalar conservation laws
• Regularity estimates for scalar conservation laws in one space dimension
• Hyperbolic Conservation Laws in Continuum Physics
• Front tracking for hyperbolic conservation laws

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