A variational approach to stochastic nonlinear diffusion problems with dynamical boundary conditions

Bonaccorsi, Stefano and Ziglio, Giacomo (2010) A variational approach to stochastic nonlinear diffusion problems with dynamical boundary conditions. UNSPECIFIED. (Unpublished)

[img]
Preview
 PDF
Download (215Kb) | Preview

    Abstract

    Preprint. We study a nonlinear partial differential equation of the calculus of variation in a bounded domain, perturbed by noise; we allow stochastic boundary conditions which depend on the time derivative of the solution on the boundary. This work provides the existence and uniqueness of the solution and it shows the existence of an ergodic invariant measure for the corresponding transition semigroup; further, under suitable additional assumptions, uniqueness and strong asymptotic stability of the invariant measure are proved.

    Item Type: Departmental Technical Report
    Department or Research center: Mathematics
    Subjects: Q Science > QA Mathematics > QA374.7 Partial differential equations
    Uncontrolled Keywords: Nonlinear operators, dynamical boundary conditions, invariant measures, ergodicity
    Report Number: UTM 737
    Repository staff approval on: 05 Aug 2010

    Actions (login required)

    		 View Item