Discontinuous solutions of \(U_t + H(U_x) = 0\) versus measure-valued solutions of \(u_t + [H(u)]_x = 0\)
DOI10.4171/RLM/941zbMath1483.35073OpenAlexW4200558825MaRDI QIDQ2075650
Publication date: 15 February 2022
Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4171/rlm/941
Hamilton-Jacobi equationscompatibility conditionsscalar conservation lawsRadon measure-valued solutionsdiscontinuous viscosity solutions
Hyperbolic conservation laws (35L65) Spaces of measures, convergence of measures (28A33) Integration and disintegration of measures (28A50) Viscosity solutions to PDEs (35D40) Hamilton-Jacobi equations (35F21)
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