On locally bounded solutions of the Cauchy problem for a first-order quasilinear equation with power flux function

DOI10.1134/S0001434618070222zbMath1418.35251OpenAlexW2895047377WikidataQ129132266 ScholiaQ129132266MaRDI QIDQ1991789

L. V. Gargyants

Publication date: 30 October 2018

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434618070222

zbMATH Keywords

non-uniquenessscalar conservation lawsunbounded generalized entropy solutions

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Hyperbolic conservation laws (35L65) Weak solutions to PDEs (35D30) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Initial value problems for first-order hyperbolic equations (35L03)

Related Items (3)

On the Cauchy problem for a one-dimensional conservation law with initial conditions coinciding with a power or exponential function at infinity ⋮ Nonuniqueness of unbounded solutions of the Cauchy problem for scalar conservation laws ⋮ Constructing unbounded discontinuous solutions of scalar conservation laws using the Legendre transform

Cites Work

• Locally bounded solutions of one-dimensional conservation laws
• Example of nonuniqueness of entropy solutions in the class of locally bounded functions.
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