Nonvanishing singular parts of measure valued solutions for scalar hyperbolic equations

DOI10.1080/03605309108820758zbMath0733.35021OpenAlexW1988127761MaRDI QIDQ3360567

Denis Serre, Francoise Demengel

Publication date: 1991

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

Full work available at URL: https://doi.org/10.1080/03605309108820758

zbMATH Keywords

Cauchy problemmeasure valued solutionsscalar hyperbolic conservation law

Mathematics Subject Classification ID

Related Items (11)

Entropy solutions to conservation laws with singular initial data ⋮ Discontinuous solutions of Hamilton-Jacobi equations versus Radon measure-valued solutions of scalar conservation laws: disappearance of singularities ⋮ Noncoercive diffusion equations with Radon measures as initial data ⋮ Parabolic equations with conservative nonlinear term and singular initial data ⋮ Radon measure-valued solutions of quasilinear parabolic equations ⋮ Radon measure solutions for steady compressible Euler equations of hypersonic-limit conical flows and Newton's sine-squared law ⋮ Singular asymptotic expansions and delta waves for Burgers' equation ⋮ Signed Radon measure-valued solutions of flux saturated scalar conservation laws ⋮ Radon measure-valued solutions of first order scalar conservation laws ⋮ Discontinuous solutions of \(U_t + H(U_x) = 0\) versus measure-valued solutions of \(u_t + [H(u)_x = 0\)] ⋮ On global discontinuous solutions of Hamilton-Jacobi equations

Cites Work

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• Domaines invariants pour les systèmes hyperboliques de lois de conservation. (Invariant domains for hyperbolic systems of the conservation law)
• Source-solutions and asymptotic behavior in conservation laws
• Sublinear functions of measures and variational integrals
• Hyperbolic systems of conservation laws II

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