Nonlinear parabolic flows with dynamic flux on the boundary
arXiv:1412.3438 · doi:10.1016/j.jde.2014.12.003
Abstract
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.
33 pages