Linear transport equations with discontinuous coefficients

DOI10.1080/03605309908821484zbMath0992.35104OpenAlexW2078407257MaRDI QIDQ4264578

Bojan Popov, Guergana Petrova

Publication date: 11 September 2002

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

Full work available at URL: https://doi.org/10.1080/03605309908821484

zbMATH Keywords

entropy solutionentropy conditionone-sided Lipschitz conditionFilippov flow

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) PDEs with low regular coefficients and/or low regular data (35R05)

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Cites Work

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• Ordinary differential equations, transport theory and Sobolev spaces
• Generlized solutions of linear differential equations with dicontinuous coefficients and the uniqueness question for multidimensional quasilinear conservation laws
• Local Error Estimates for Discontinuous Solutions of Nonlinear Hyperbolic Equations
• One-dimensional transport equations with discontinuous coefficients