摘要
研究了带乘性噪声的Ginzburg-Landau方程.首先运用Galerkin逼近近似将无穷维空间变换到有限维空间,然后利用一系列不等式得到有界性,最后利用Prokhorov定理、Skorokhod定理以及鞅表示定理获得了系统鞅解的存在性.
This paper is concerned with the Ginzburg-Landau equation with multiplicative noise. To start with we transformed infinite dimensional space into finite dimensional space by Galerkin approximation, secondly we used a series of inequalities to obtain boundedness. Finally, we obtained the existence of mar-tingale solutions by Prokhorov theorem, Skorokhod theorem and martingale representation theorem.
作者
李娜
闻道君
LI Na WEN Dao-jun(School of Architectural Engineering,Urban Vocational College of Sichuan , Chengdu 610101,China School of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing 400067, China)
出处
《西南师范大学学报（自然科学版）》
CAS
北大核心
2017年第4期20-26,共7页
Journal of Southwest China Normal University(Natural Science Edition)
基金
重庆市前沿与应用基础研究项目(cstc2016jcyjA0101)
重庆市教委科学技术研究项目(KJ1500623)
