Resumen de On a nonlinear hyperbolic parabolic equation

Gerard Gagneux

• We are concerned with existence, uniqueness and stability of a strong entropy solution for a Cauchy-Dirichlet problem, associated to the following scalar conservation law ut-_'(u)-div(_(u)G) = 0 on a bounded domain of IRn+1. The problem particularity is that ' is a nondecreasing function, constant on an interval [0, 'c]. Therefore, we study a free boundary problem which degenerates, for some solution values, into a nonlinear hyperbolic problem with boundary conditions.