Resumen de Nonlinear diffusion problem with dynamical boundary value

Vladimír Vrábel�, Marián Slodièka

• A nonlinear degenerate convection�diffusion initial boundary value problem is studied in a bounded domain. A dynamical boundary condition (containing the time derivative of a solution) is prescribed on the one part of the boundary. This models a non-perfect contact on the boundary. The existence and uniqueness of a weak solution in corresponding function spaces is proved using the backward Euler method for the time discretization.

  Error estimates for time-discrete approximations are derived.