Lvy噪声驱动的随机b族方程的适定性  

Well-posedness for stochastic b-family equation with Lvy noise

作　　者：陈涌[1] 陈瑞林[1] 骆桦[1] CHEN Yong CHEN RuiLin LUO Hua

机构地区：[1]浙江理工大学理学院,杭州310018

出　　处：《中国科学：数学》2017年第5期625-634,共10页Scientia Sinica：Mathematica

基　　金：国家自然科学基金(批准号:11401532和11501511);浙江省自然科学基金(批准号:LQ14A010015和LQ15A010012)资助项目

摘　　要：本文考虑Lvy噪声驱动的随机b族方程的适定性.首先,由压缩映射原理得到随机黏性b族方程的局部适定性.接着,由正则化方法,得到一个Cauchy列,其相应的极限为随机b族方程的唯一解.In this paper, the stochastic b-family equation with Levy noise is considered. Firstly, the local well- posedness for the stochastic viscous b-family equation is established by the contracting mapping principle. Then, by the regularization method, a Cauchy sequence is obtained, from which the well-posedness of the stochastic b-family equation is proved.

关 键 词：适定性 随机b族方程 正则化方法 

分 类 号：O211.63[理学—概率论与数理统计]