On the shift differentiability of the flow generated by a hyperbolic system of conservation laws
The author adresses the question of differentiability of the flow generated by a strictly hyperbolic system of conservation laws. Using a simple decomposition of \(u\in\text{BV}\) in terms of its derivative, the author gives a unified definition of the shift tangent vector, valid both in the scalar and vector case. This extension allows the author to study the shift differentiability of the flow generated by a hyperbolic system of conservation laws.
scientific article; zbMATH DE number 1492637