An existence theorem for a quasilinear hyperbolic boundary value problem solved by semidiscretization in time
The author considers the system of two quasilinear hyperbolic equations with integrable coefficients and right-hand side, which is transformed into one complex differential equation. By use of Rothe's method he proves existence of weak solution of the above equation on \(G\times (0,T)\) satisfying Dirichlet condition on G and some initial data.
scientific article; zbMATH DE number 3951143