Nonlinear parabolic flows with dynamic flux on the boundary
  A nonlinear divergence parabolic equation with dynamic boundary conditions of Wentzell type is studied. The existence and uniqueness of a strong solution is obtained as the limit of a finite difference scheme, in the time dependent case and via a semigroup approach in the time-invariant case. 
Viorel Barbu, Angelo Favini, Gabriela Marinoschi
math.AP