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

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  • Jiang, Yiming
  • Wang, Suxin
  • Wang, Yongjin

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.

Suggested Citation

  • Jiang, Yiming & Wang, Suxin & Wang, Yongjin, 2014. "On a class of Cahn–Hilliard type stochastic interacting systems with stepping-stone noises," Statistics & Probability Letters, Elsevier, vol. 84(C), pages 9-16.
    • Handle: RePEc:eee:stapro:v:84:y:2014:i:c:p:9-16
    DOI: 10.1016/j.spl.2013.09.020
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    References listed on IDEAS

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    1. Bo, Lijun & Wang, Yongjin, 2011. "On a stochastic interacting model with stepping-stone noises," Statistics & Probability Letters, Elsevier, vol. 81(8), pages 1300-1305, August.
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