具有分数噪声的随机Cahn-Hilliard/Allen-Cahn方程的大偏差原理

Pub Date : 2023-09-13 DOI:10.1080/07362994.2023.2254371

Amali Paul Rose Gregory, Murugan Suvinthra, Krishnan Balachandran

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引用次数: 0

摘要

在这项工作中，我们考虑具有分数噪声的随机Cahn-Hilliard/Allen-Cahn方程，该方程在时间上是分数的，在空间上是白的。得到了解的存在性、唯一性和Hölder正则性。同时，利用弱收敛方法，证明了具有小扰动的上述方程的解律满足Hölder范数中的大偏差原理。

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Large deviation principle for the stochastic Cahn-Hilliard/Allen-Cahn equation with fractional noise

In this work, we consider the stochastic Cahn-Hilliard/Allen-Cahn equation with fractional noise, which is fractional in time and white in space. We obtain the existence, uniqueness, and Hölder regularity of the solution. Also, using a weak convergence approach, we prove that the law of solution associated with the above equation with a small perturbation satisfies the large deviation principle in the Hölder norm.

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