On a class of Cahn–Hilliard type stochastic interacting systems with stepping-stone noises
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.
Year of publication: |
2014
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Authors: | Jiang, Yiming ; Wang, Suxin ; Wang, Yongjin |
Published in: |
Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 84.2014, C, p. 9-16
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Publisher: |
Elsevier |
Subject: | Cahn–Hilliard type system | Stepping-stone noise |
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