UNIFORM LARGE DEVIATION PRINCIPLES OF FRACTIONAL STOCHASTIC <em>P</em>-LAPLACIAN REACTION-DIFFUSION EQUATIONS ON UNBOUNDED DOMAINS

Mudong Li; Pengyu Chen

doi:10.11948/20240585

2025 Volume 15 Issue 5

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Mudong Li, Pengyu Chen. UNIFORM LARGE DEVIATION PRINCIPLES OF FRACTIONAL STOCHASTIC P-LAPLACIAN REACTION-DIFFUSION EQUATIONS ON UNBOUNDED DOMAINS[J]. Journal of Applied Analysis & Computation, 2025, 15(5): 3095-3112. doi: 10.11948/20240585

Citation:

Mudong Li, Pengyu Chen. UNIFORM LARGE DEVIATION PRINCIPLES OF FRACTIONAL STOCHASTIC P-LAPLACIAN REACTION-DIFFUSION EQUATIONS ON UNBOUNDED DOMAINS[J]. Journal of Applied Analysis & Computation, 2025, 15(5): 3095-3112. doi: 10.11948/20240585

UNIFORM LARGE DEVIATION PRINCIPLES OF FRACTIONAL STOCHASTIC P-LAPLACIAN REACTION-DIFFUSION EQUATIONS ON UNBOUNDED DOMAINS

Mudong Li^1,,
Pengyu Chen^1,2, ,

1.
Department of Mathematics, Northwest Normal University, Lanzhou 730070, China
2.
Gansu Provincial Research Center for Basic Disciplines of Mathematics and Statistics, Lanzhou 730070, China

Author Bio: Email: 1281579589@qq.com(M. Li)
Corresponding author: Email: chpengyu123@163.com(P. Chen)
Fund Project: This work was supported by National Natural Science Foundation of China (No. 12471231), the Outstanding Youth Science Fund of Gansu Province (No. 24JRRA122), Funds for Innovative Fundamental Research Group Project of Gansu Province (No. 23JRRA684) and Project of NWNU-LKZD2023-03

Abstract

Abstract

This paper is concerned with uniform large deviation principles of fractional stochastic p-Laplacian reaction-diffusion equations driven by additive noise defined on unbounded domains. The nonlinear drift is assumed to be locally Lipschitz continuous. Due to the non-compact of the solution operator, we will use the method of weak convergence to show the result.
- Uniform large deviation principle /
- uniform contraction principle /
- fractional p-Lapician operator /
- stochastic diffusion equation
MSC: 60F10, 60H15, 35R11, 37L55

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References

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