Existence and uniqueness of unbounded entropy solutions of the Cauchy problem for first-order quasilinear conservation laws

DOI10.1134/S0012266111010113zbMath1218.35140MaRDI QIDQ542163

P. V. Lysukho, Evgeny Yu. Panov

Publication date: 8 June 2011

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

zbMATH Keywords

well-posednesslocally bounded functions

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Initial value problems for first-order hyperbolic systems (35L45)

Related Items (2)

Long time asymptotics of periodic generalized entropy solutions of scalar conservation laws ⋮ Constructing unbounded discontinuous solutions of scalar conservation laws using the Legendre transform

Cites Work

• Unnamed Item
• Example of nonuniqueness of entropy solutions in the class of locally bounded functions.
• Conservation laws with continuous flux functions

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