Let be a bounded Lipschitz continuous function. We discuss some recent results concerning discontinuous viscosity solutions of the Hamilton–Jacobi equation 0, signed Radon measure-valued entropy solutions of the conservation law , and their connection.
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Alberto Tesei, Discontinuous solutions of versus measure-valued solutions of . Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 32 (2021), no. 3, pp. 391–411DOI 10.4171/RLM/941