Nonlinear stochastic evolution equations of second order with damping

Abstract

Convergence of a full discretization of a second order stochastic evolution equation with nonlinear damping is shown and thus existence of a solution is established. The discretization scheme combines an implicit time stepping scheme with an internal approximation. Uniqueness is proved as well.

This is the version of the article accepted for publication. The final publication is available at http://link.springer.com

References in corpus (2)

• Weak convergence rates for spatial spectral Galerkin approximations of semilinear stochastic wave equations with multiplicative noise
• Full discretisation of semi-linear stochastic wave equations driven by multiplicative noise

Cited by in corpus (4)

• An averaged space-time discretization of the stochastic $p$-Laplace system
• Numerical approximation of singular-degenerate parabolic stochastic PDEs
• The BDF2-Maruyama Scheme for Stochastic Evolution Equations with Monotone Drift
• A class of space-time discretizations for the stochastic $p$-Stokes system