The stochastic fractional power dissipative equations in any dimension and applications

被引：7

作者：

Chen, Yong ^{[1
]}

Gao, Hongjun ^{[2
,3
]}

Sun, Chengfeng ^{[4
]}

机构：

[1] Zhejiang Sci Tech Univ, Sch Sci, Hangzhou 310018, Zhejiang, Peoples R China

[2] Nanjing Normal Univ, Sch Math Sci, Inst Math, Nanjing 210023, Jiangsu, Peoples R China

[3] Jilin Univ, Inst Math, Changchun 130012, Peoples R China

[4] Nanjing Univ Finance & Econ, Dept Appl Math, Nanjing 210023, Jiangsu, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2015年 / 425卷 / 02期

基金：

国家自然科学基金重大项目;

关键词：

Fractional power dissipative equations; Wiener process; Strichartz estimates; Global existence; PARTIAL-DIFFERENTIAL-EQUATIONS; SPDES DRIVEN; NOISE; REGULARITY;

D O I：

10.1016/j.jmaa.2015.01.029

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with stochastic fractional power dissipative equations with multiplicative noise in n-dimension (n >= 1) space. The well-posedness for the subcritical nonlinearities is proved in appropriate space time space by the contraction mapping principle and Strichartz estimates. The main result can be applied to various types of SPDEs such as stochastic reaction-diffusion equations, stochastic fractional Burgers equation and stochastic fractional Navier-Stokes equation. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：1240 / 1256

页数：17

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