On the smoothing of initial discontinuities and the development of singularities in solutions of certain quasilinear hyperbolic equations

DOI10.1090/CONM/017/706088zbMath0532.35049OpenAlexW4210257265MaRDI QIDQ3314246

David Hoff

Publication date: 1983

Published in: Nonlinear partial differential equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/conm/017/706088

zbMATH Keywords

smoothingquasilinear hyperbolic equationsdevelopment of singularitiesinitial discontinuitiesVolpert-Kruzkov solutions

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65) PDEs with low regular coefficients and/or low regular data (35R05)

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Formation of singularities for certain hyperbolic systems in one space dimension. ⋮ On the breakdown of solutions to \(N\times N\) quasilinear hyperbolic systems

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