Discontinuous solutions of Hamilton-Jacobi equations versus Radon measure-valued solutions of scalar conservation laws: disappearance of singularities
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Publication:6095769
DOI10.1007/s10884-021-09997-xzbMath1522.35151arXiv2007.15856OpenAlexW3170573160WikidataQ115383196 ScholiaQ115383196MaRDI QIDQ6095769
Tesei, Alberto, Andrea Terracina, Flavia Smarrazzo, Michiel Bertsch
Publication date: 8 September 2023
Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2007.15856
Hamilton-Jacobi equationwaiting timesingular boundary conditionsfirst-order hyperbolic conservation laws
Hyperbolic conservation laws (35L65) Viscosity solutions to PDEs (35D40) Hamilton-Jacobi equations (35F21)
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Discontinuous solutions of \(U_t + H(U_x) = 0\) versus measure-valued solutions of \(u_t + [H(u)_x = 0\)]
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