A Semigroup Approach to Stochastic Dynamical Boundary Value Problems
Stefano Bonaccorsi, Giacomo Ziglio · 2006
In many physical applications, the evolution of the system is endowed with dynamical boundary conditions, i.e., with boundary operators containing time derivatives. In this paper we discuss a generalization of such systems, where stochastic perturbations affect the way the system evolves in the interior of the domain as well as on the boundary.