Large deviations for locally monotone stochastic partial differential equations driven by Levy noise

被引:24
|
作者
Xiong, Jie [1 ]
Zhai, Jianliang [2 ]
机构
[1] Univ Macau, Fac Sci & Technol, Dept Math, Macau, Peoples R China
[2] Univ Sci & Technol China, Chinese Acad Sci, Sch Math Sci, Wu Wen Tsun Key Lab Math, Hefei 230026, Anhui, Peoples R China
基金
中国国家自然科学基金;
关键词
Freidlin-Wentzell type large deviation principle; Levy processes; locally monotone coefficients; stochastic partial differential equations;
D O I
10.3150/17-BEJ947
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
We establish a large deviation principle for a type of stochastic partial differential equations (SPDEs) with locally monotone coefficients driven by Levy noise. The weak convergence method plays an important role.
引用
收藏
页码:2842 / 2874
页数:33
相关论文
共 50 条
  • [1] Large deviations for locally monotone stochastic partial differential equations driven by Lévy noise
    Wu, Weina
    Zhai, Jianliang
    Zhu, Jiahui
    arXiv,
  • [2] DYNAMICS AND LARGE DEVIATIONS FOR FRACTIONAL STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS WITH LEVY NOISE
    Xu, Jiaohui
    Caraballo, Tomas
    Valero, Jose
    SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2024, 56 (01) : 1016 - 1067
  • [3] LARGE DEVIATIONS FOR STOCHASTIC GENERALIZED POROUS MEDIA EQUATIONS DRIVEN BY LEVY NOISE
    Wu, Weina
    Zhai, Jianliang
    SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2024, 56 (01) : 1 - 42
  • [4] A white noise approach to stochastic partial differential equations driven by the fractional Levy noise
    Lu, Xuebin
    Dai, Wanyang
    ADVANCES IN DIFFERENCE EQUATIONS, 2018,
  • [5] LARGE DEVIATIONS FOR STOCHASTIC HEAT EQUATIONS WITH MEMORY DRIVEN BY LEVY-TYPE NOISE
    Riedle, Markus
    Zhai, Jianliang
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2018, 38 (04) : 1983 - 2005
  • [6] Nonlinear stochastic parabolic partial differential equations with a monotone operator of the Ladyzenskaya-Smagorinsky type, driven by a Levy noise
    Phuong Nguyen
    Tawri, Krutika
    Temam, Roger
    JOURNAL OF FUNCTIONAL ANALYSIS, 2021, 281 (08)
  • [7] Strong approximation of monotone stochastic partial differential equations driven by white noise
    Liu, Zhihui
    Qiao, Zhonghua
    IMA JOURNAL OF NUMERICAL ANALYSIS, 2020, 40 (02) : 1074 - 1093
  • [8] Strong approximation of monotone stochastic partial differential equations driven by multiplicative noise
    Liu, Zhihui
    Qiao, Zhonghua
    STOCHASTICS AND PARTIAL DIFFERENTIAL EQUATIONS-ANALYSIS AND COMPUTATIONS, 2021, 9 (03): : 559 - 602
  • [9] Strong approximation of monotone stochastic partial differential equations driven by multiplicative noise
    Zhihui Liu
    Zhonghua Qiao
    Stochastics and Partial Differential Equations: Analysis and Computations, 2021, 9 : 559 - 602
  • [10] Large deviations for stochastic partial differential equations driven by a Poisson random measure
    Budhiraja, Amarjit
    Chen, Jiang
    Dupuis, Paul
    STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2013, 123 (02) : 523 - 560