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math.AP2018
A uniqueness criterion for measure-valued solutions of scalar hyperbolic conservation laws
Michiel Bertsch, Flavia Smarrazzo, Andrea Terracina +1
We prove existence and uniqueness of Radon measure-valued solutions of the Cauchy problem $$ \begin{cases} u_t+[φ(u)]_x=0 & \text{in } \mathbb{R}\times (0,T) \\ u=u_0\ge 0 &\text{i…
math.AP2018★ 2 cited
Radon measure-valued solutions of first order hyperbolic conservation laws
Michiel Bertsch, Flavia Smarrazzo, Andrea Terracina +1
We study nonnegative solutions of the Cauchy problem $$ \begin{cases} u_t+[φ(u)]_x=0 & \text{in } \mathbb{R}\times (0,T) \\ u=u_0\ge 0&\text{in } \mathbb{R}\times \{0\}, \end{cases…