无限空间域反射速度的大偏差原理

IF 0.8 4区数学 Q3 STATISTICS & PROBABILITY Stochastics and Dynamics Pub Date : 2023-11-03 DOI:10.1142/s021949372350051x

Ran Wang, Beibei Zhang

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引用次数: 0

摘要

本文研究了无限空间域上反射型随机偏微分方程的大偏差原理。Matoussi, Sabbagh和Zhang提出的弱收敛准则的一个新的充分条件[A]。马图西，W. Sabbagh和t . s。张，准线性随机偏微分方程障碍问题的大偏差原理，应用科学。数学。Optim. 83(2)(2021) 849-879]在证明中起着重要作用。

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A Large Deviation Principle for Reflected Spdes on Infinite Spatial Domain

In this paper, we study a large deviation principle for a reflected stochastic partial differential equation on infinite spatial domain. A new sufficient condition for the weak convergence criterion proposed by Matoussi, Sabbagh and Zhang [A. Matoussi, W. Sabbagh and T.-S. Zhang, Large deviation principles of obstacle problems for quasilinear stochastic PDEs, Appl. Math. Optim. 83(2) (2021) 849–879] plays an important role in the proof.

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来源期刊

Stochastics and Dynamics 数学-统计学与概率论

CiteScore

1.70

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： This interdisciplinary journal is devoted to publishing high quality papers in modeling, analyzing, quantifying and predicting stochastic phenomena in science and engineering from a dynamical system''s point of view. Papers can be about theory, experiments, algorithms, numerical simulation and applications. Papers studying the dynamics of stochastic phenomena by means of random or stochastic ordinary, partial or functional differential equations or random mappings are particularly welcome, and so are studies of stochasticity in deterministic systems.