Large deviation principle of occupation measures for non-linear monotone SPDEs

Wang, Ran1; Xiong, Jie2,3; Xu, Lihu4

2020-07-07

10.1007/s11425-018-9482-1

Science China-Mathematics   影响因子和分区

1674-7283

1869-1862

Using the hyper-exponential recurrence criterion, we establish the occupation measures' large deviation principle for a class of non-linear monotone stochastic partial differential equations (SPDEs) driven by Wiener noise, including the stochasticp-Laplace equation, the stochastic porous medium equation and the stochastic fast-diffusion equation. We also propose a framework for verifying hyper-exponential recurrence, and apply it to study the large deviation problems for strong dissipative SPDEs. These SPDEs can be stochastic systems driven by heavy-tailed alpha-stable process.

stochastic partial differential equation large deviation principle occupation measure hyper-exponential recurrence

SCI

英语

其他

National Natural Science Foundation of China[11431014][11671076] ; University of Macau Multi-Year Research Grant[MYRG2016-00025-FST] ; Science and Technology Development Fund, Macao SAR[025/2016/A1][030/2016/A1][038/2017/A1]

Mathematics

Mathematics, Applied ; Mathematics

WOS:000546208000001

SCIENCE PRESS

Web of Science

1.Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China
2.Southern Univ Sci & Technol, Dept Math, Shenzhen 518055, Peoples R China
3.Southern Univ Sci & Technol, Int Ctr Math, Shenzhen 518055, Peoples R China
4.Univ Macau, Fac Sci & Technol, Dept Math, Macau, Peoples R China

Wang, Ran,Xiong, Jie,Xu, Lihu. Large deviation principle of occupation measures for non-linear monotone SPDEs[J]. Science China-Mathematics,2020.

Wang, Ran,Xiong, Jie,&Xu, Lihu.(2020).Large deviation principle of occupation measures for non-linear monotone SPDEs.Science China-Mathematics.

Wang, Ran,et al."Large deviation principle of occupation measures for non-linear monotone SPDEs".Science China-Mathematics (2020).