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math.AP2019
Signed Radon measure-valued solutions of flux saturated scalar conservation laws
M. Bertsch, F. Smarrazzo, A. Terracina +1
We prove existence and uniqueness for a class of signed Radon measure-valued entropy solutions of the Cauchy problem for a first order scalar hyperbolic conservation law in one spa…
math.AP2019
Discontinuous viscosity solutions of first order Hamilton-Jacobi equations
M. Bertsch, F. Smarrazzo, A. Terracina +1
We consider the simplest example of a time-dependent first order Hamilton-Jacobi equation, in one space dimension and with a bounded and Lipschitz continuous Hamiltonian which only…