On a class of Cahn–Hilliard type stochastic interacting systems with stepping-stone noises

Yiming Jiang, Suxin Wang and Yongjin Wang

Statistics & Probability Letters, 2014, vol. 84, issue C, 9-16

Abstract: We are concerned with a class of Cahn–Hilliard type stochastic interacting systems with stepping-stone noises. We first establish approximating SPDEs for them since the diffusion coefficients are not Lipschitz. And then we obtain the existence of weak mild solution to this system by solving a martingale problem.

Keywords: Cahn–Hilliard type system; Stepping-stone noise (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1016/j.spl.2013.09.020

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