The Cauchy problem for a singular conservation law with measures as initial conditions

DOI10.1006/JMAA.1998.6023zbMath0909.35090OpenAlexW2011977893MaRDI QIDQ1270676

Hongjun Yuan

Publication date: 8 April 1999

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1998.6023

zbMATH Keywords

nonnegative finite Borel measure

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) PDEs with low regular coefficients and/or low regular data (35R05) Degenerate hyperbolic equations (35L80)

Related Items (2)

BV solutions for the Cauchy problem of a quasilinear hyperbolic equation with \(\sigma\)-finite Borel measure and nonlinear source ⋮ Existence and uniqueness for a quasilinear hyperbolic equation with \(\sigma\)-finite Borel measures as initial conditions

Cites Work

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• Source-type solutions of the porous media equation with absorption: The fast diffusion case
• Uniqueness of the solutions of ut−Δϕ(u) = 0 with initial datum a measure
• Singular solutions and asymptotic behaviour for a class of conservation laws with absorption
• FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES

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