Large Deviations for Quasilinear Parabolic Stochastic Partial Differential Equations

被引：0

作者：

Zhao Dong

Rangrang Zhang

Tusheng Zhang

机构：

[1] Chinese Academy of Sciences,RCSDS, Academy of Mathematics and Systems Science

[2] University of Chinese Academy of Sciences,School of Mathematical Sciences

[3] Beijing Institute of Technology,School of Mathematics and Statistics

[4] University of Manchester,School of Mathematics

来源：

Potential Analysis | 2020年 / 53卷

关键词：

Freidlin-Wentzell’s large deviations; Quailinear stochastic partial differential equations; Weak convergence approach;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, we establish the Freidlin-Wentzell’s large deviations for quasilinear parabolic stochastic partial differential equations with multiplicative noise, which are neither monotone nor locally monotone. The proof is based on the weak convergence approach.

引用

页码：183 / 202

页数：19

共 50 条

[1] Large Deviations for Quasilinear Parabolic Stochastic Partial Differential Equations
Dong, Zhao
Zhang, Rangrang
Zhang, Tusheng
POTENTIAL ANALYSIS, 2020, 53 (01) : 183 - 202
[2] DEGENERATE PARABOLIC STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS: QUASILINEAR CASE
Debussche, Arnaud
Hofmanova, Martina
Vovelle, Julien
ANNALS OF PROBABILITY, 2016, 44 (03): : 1916 - 1955
[3] Quasilinear parabolic stochastic partial differential equations: Existence, uniqueness
Hofmanova, Martina
Zhang, Tusheng
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2017, 127 (10) : 3354 - 3371
[4] Large deviations for a class of stochastic partial differential equations
Kallianpur, G
Xiong, J
ANNALS OF PROBABILITY, 1996, 24 (01): : 320 - 345
[5] Large deviations of conservative stochastic partial differential equations
Chen, Ping
Zhang, Tusheng
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2024, 540 (02)
[6] Large Deviations for a Class of Parabolic Semilinear Stochastic Partial Differential Equations in Any Space Dimension
Setayeshgar, Leila
MARKOV PROCESSES AND RELATED FIELDS, 2019, 25 (05) : 899 - 914
[7] A REGULARITY RESULT FOR QUASILINEAR STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS OF PARABOLIC TYPE
Debussche, Arnaud
De Moor, Sylvain
Hofmanova, Martina
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2015, 47 (02) : 1590 - 1614
[8] On the Small Time Asymptotics of Quasilinear Parabolic Stochastic Partial Differential Equations
Zhang, Rangrang
POTENTIAL ANALYSIS, 2023, 59 (02) : 467 - 495
[9] On the Small Time Asymptotics of Quasilinear Parabolic Stochastic Partial Differential Equations
Rangrang Zhang
Potential Analysis, 2023, 59 : 467 - 495
[10] Large deviations for a class of semilinear stochastic partial differential equations
Foondun, Mohammud
Setayeshgar, Leila
STATISTICS & PROBABILITY LETTERS, 2017, 121 : 143 - 151

← 1 2 3 4 5 →