首页   按字顺浏览 期刊浏览 卷期浏览 Freidliln–Wentzell type estimates for solutions of hyperbolic SPDEs in Besov...
Freidliln–Wentzell type estimates for solutions of hyperbolic SPDEs in Besov–Orlicz spaces and applications

 

作者: B. Boufoussi,   M. Eddahbi,   M. N’zi,  

 

期刊: Stochastic Analysis and Applications  （Taylor Available online 2000）
卷期: Volume 18, issue 5  

页码: 697-722

 

ISSN:0736-2994

 

年代: 2000

 

DOI:10.1080/07362990008809693

 

出版商: Marcel Dekker, Inc.

 

关键词: Besov-Orlicz Anisotropic Spaces;Hyperbolic Stochastic Partial Differential Equations;Large Deviations;Schauder Basis;Strassen's Iterated Logarithm Law

 

数据来源: Taylor

 

摘要:

In this paper,we firstly study the regularity of solutions of hyperbolic stochastic partial differential equations by proving that they almost surely belong to the anisotropic Besov–Orlicz spacecorresponding to the Young function M2(t)= exp (t2) - 1. Secondly, we establish a large deviation principle in this space for the law of the solutions which generalizes the result in Eddahbi [16] dealing with the Höder topology, weaker than the Besov-Orlicz topology the Strassen's iterated logarithm law for the Brownian sheet obtained in N’zi [29].

 

点击下载:  PDF (598KB)



返 回