Periodic measures of fractional stochastic discrete wave equations with nonlinear noise

Abstract

The primary focus of this work lies in the exploration of the limiting dynamics governing fractional stochastic discrete wave equations with nonlinear noise. First, we establish the well-posedness of solutions to these stochastic equations and subsequently demonstrate the existence of periodic measures for the considered equations.

Keywords

• stochastic discrete wave equations
• fractional discrete laplacian
• nonlinear noise
• periodic measure
• 35b40
• 35b41
• 37l30