Inertial manifolds for stochastic PDE with dynamical boundary conditions (Q652004)

In this paper, the authors investigate the dynamics of stochastic parabolic equations with dynamical boundary conditions defined in a smooth bounded domain in \(\mathbb R^n\). Under certain conditions, the authors first establish the existence of a random dynamical system for the equations, and then construct a random inertial manifold. The differentiability of the inertial manifold is also proved under additional assumptions on the nonlinearity.