Harnack inequalities for $1$-$d$ stochastic Klein-Gordon type equations

Abstract

By the coupling method, we establish the Harnack inequalities, derivative formula and Driver's integration by parts formula for the stochastic Klein-Gordon type equations in the interval. We provide a detailed discussion about the nonlinear term. Some applications are given.

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Cited by in corpus (1)

• A Study of a Class of Stochastic Volterra Equations Driven by Fractional Brownian Motion