Resumen de Uniqueness of entropy solutions of nonlinear elliptic-parabolic-hyperbolic problems in one dimension space

Stanislas Ouaro

• We consider a class of elliptic-parabolic-hyperbolic degenerate equations of the form b(u)t -a(u, f(ux)x= f with homogeneous Dirichlet conditions and initial conditions. In this paper we prove an L1-contraction principle and the uniqueness of entropy solutions under rather general assumptions on the data.