FREIDLIN-WENTZELL'S LARGE DEVIATION PRINCIPLE FOR STOCHASTIC INTEGRAL EVOLUTION EQUATIONS

Xiaomin Huang; Yanpei Jiang; Wei Liu

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FREIDLIN-WENTZELL'S LARGE DEVIATION PRINCIPLE FOR STOCHASTIC INTEGRAL EVOLUTION EQUATIONS

机译：FREIDLIN-WENTZELL'S LARGE DEVIATION PRINCIPLE FOR STOCHASTIC INTEGRAL EVOLUTION EQUATIONS

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摘要

The main aim of this work is to investigate the large deviation principle for a class of stochastic integral evolution equations. As applications, our results can be applied to a large class of stochastic models with hereditary or memory effects such as stochastic integral porous medium equations, stochastic integral p-Laplace equations and stochastic integral 2D Navier-Stokes equations.

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来源
《Communications on pure and applied analysis》 |2022年第9期|3089-3116|共28页
作者
Xiaomin Huang; Yanpei Jiang; Wei Liu;
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作者单位

School of Statistics and Data Science, Nankai University Tianjin 300071, China;

School of Mathematics and Statistics, Jiangsu Normal University, Xuzhou 221116, China;

School of Mathematics and Statistics/RIMS, Jiangsu Normal University, Xuzhou 221116, China;

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原文格式 PDF
正文语种英语
中图分类数学;
关键词
SPDE; stochastic integral evolution equation; locally monotone; variational approach; large deviation principle;

FREIDLIN-WENTZELL'S LARGE DEVIATION PRINCIPLE FOR STOCHASTIC INTEGRAL EVOLUTION EQUATIONS

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