A note on front tracking and the equivalence between viscosity solutions of Hamilton-Jacobi equations and entropy solutions of scalar conservation laws
The paper deals with the investigation of Hamilton-Jacobi equations which are closely related to scalar conservation laws. Thereby, a proof concerned with the equivalence between the unique viscosity solution of the Hamilton-Jacobi equation and the unique entropy solution of the corresponding scalar conservation law is presented. Furthermore, a front tracking algorithm for Hamilton-Jacobi equations in one dimension is derived.
scientific article; zbMATH DE number 1788023
scientific article