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Moderate Deviations Principle and Central Limit Theorem for Stochastic Cahn-Hilliard Equation in Holder Norm

International Journal of Applied Mathematics and Simulation
We consider a stochastic Cahn-Hilliard partial differential equation driven by a space-time white noise. In this paper, we prove a Central Limit Theorem (CLT) and a Moderate Deviation Principle (MDP) for a perturbed stochastic Cahn-Hilliard equation in ...
Ratsarasaina R. M., Rabeherimanana T. J.
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A Weak Galerkin Method with $C^0$ Element for Forth Order Linear Parabolic Equation

Advances in Applied Mathematics and Mechanics, 2019
This paper is concerned with the C0 weak Galerkin finite element method for a fourth order linear parabolic equation. The method is based on the construction of a discrete weak Laplacian operator.
Shimin Chai
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Time-Stepping Error Bound for a Stochastic Parabolic Volterra Equation Disturbed by Fractional Brownian Motions

Numerical Mathematics: Theory, Methods and Applications, 2019
In this paper, we consider a stochastic parabolic Volterra equation driven by the infinite dimensional fractional Brownian motion with Hurst parameter H ∈ [ 2 , 1).
R. Lin
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