Large deviation principle for stochastic Burgers type equation with reflection

Wang, Ran; Zhai, Jianliang; Zhang, Shiling

doi:10.3934/cpaa.2021175

Cited by 9 publications

(2 citation statements)

References 25 publications

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“…In this paper, we adopt a new sufficient condition for the LDP (see Condition 2.8 below) which is proposed by Matoussi, Sabbagh and Zhang [28]. This method has been successfully applied to the study of LDP for SPDEs, see, e.g., [12,14,15,25,35,36]. This paper is organized as follows.…”

Section: Introductionmentioning

confidence: 99%

A Large Deviation Principle for the Stochastic Heat Equation with General Rough Noise

Wang

Zhang

2023

J Theor Probab

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We study Freidlin-Wentzell's large deviation principle for one dimensional nonlinear stochastic heat equation driven by a Gaussian noise:where 9 W is white in time and fractional in space with Hurst parameter H P p 1 4 , 1 2 q. Recently, Hu and Wang (Ann. Inst. Henri Poincaré Probab. Stat. 58 (2022) 379-423) studied the wellposedness of this equation without the technical condition of σp0q " 0 which was previously assumed in Hu et al. (Ann. Probab. 45 (2017) 4561-4616). We adopt a new sufficient condition proposed by Matoussi et al. (Appl. Math. Optim. 83 (2021) 849-879) for the weak convergence criterion of the large deviation principle.

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Section: Introductionmentioning

confidence: 99%

A Large Deviation Principle for the Stochastic Heat Equation with General Rough Noise

Wang

Zhang

2023

J Theor Probab

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show abstract

“…In this paper, we adopt a new sufficient condition for the LDP (see Condition 3.5 below) which is proposed by Matoussi, Sabbagh and Zhang [27]. This approach has been proved to be successful in a wide range of SPDEs, see e.g., [15,25,34,35].…”

Section: Introductionmentioning

confidence: 99%