An extension of Glimm's method to inhomogeneous strictly hyperbolic systems of conservation laws by ``weaker than weak'' solutions of the Riemann problem (Q818489)

The author extends the Glimm's method to inhomogeneous strictly hyperbolic systems \(u_t+f(a,u)_x=a'g(a,u)\), where \(a=a(x)\) is supposed to be a Lipschitz continuous function of finite total variation. Firstly, the author modifies the Lax technique to construct generalized solutions of the Riemann problem, which are further used as building blocks of the Glimm's scheme.