Renormalized entropy solutions of the Cauchy problem for a first-order inhomogeneous quasilinear equation

DOI10.1070/SM2013V204N10ABEH004346zbMath1282.35135MaRDI QIDQ5396970

Evgeny Yu. Panov

Publication date: 4 February 2014

Published in: Sbornik: Mathematics (Search for Journal in Brave)

zbMATH Keywords

existence and uniquenessgeneralized entropy solutions

Mathematics Subject Classification ID

Weak solutions to PDEs (35D30) Initial value problems for nonlinear first-order PDEs (35F25) Comparison principles in context of PDEs (35B51)

Cites Work

• Example of nonuniqueness of entropy solutions in the class of locally bounded functions.
• Conservation laws with continuous flux functions
• On well-posedness classes of locally bounded generalized entropy solutions of the Cauchy problem for quasilinear first-order equations
• On generalized entropy solutions of the Cauchy problem for a first-order quasilinear equation in the class of locally summable functions
• FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES
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