Well-posedness and existence of an invariant measure for the linearly-damped KdV equations driven by a jump noise

Krutika Tawri, Roger Temam, Xinwu Yang

In this paper, we investigate the linearly damped KdV equation on the one-dimensional torus $\mathbb{T}$, perturbed by a multiplicative Lévy noise. For any damping coefficient $γ>…