One-Dimensional Scalar Conservation Laws with Regulated Data

DOI10.1137/19M1267957zbMath1442.35254WikidataQ114847140 ScholiaQ114847140MaRDI QIDQ3296901

Helge Kristian Jenssen, Johanna Ridder

Publication date: 2 July 2020

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

zbMATH Keywords

front-trackingHelly's selection principleregulated initial data

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Hyperbolic conservation laws (35L65) Initial value problems for first-order hyperbolic equations (35L03)

Related Items (3)

A selection theorem for essentially regulated functions of several variables ⋮ On Φ-variation for 1-d scalar conservation laws ⋮ Entropy Solutions in $BV^s$ for a Class of Triangular Systems Involving a Transport Equation

Cites Work

• Differentiability of six operators on nonsmooth functions and \(p\)-variation. With the collaboration of Jinghua Qian
• Discontinuous solutions of non-linear differential equations
• FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES
• Hyperbolic Conservation Laws in Continuum Physics
• Front tracking for hyperbolic conservation laws
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