非Lipschitz系数随机波动方程适度解的存在唯一性(英文)
Existence and Uniqueness of Stochastic Wave Equation with Non-Lipschitz Coefficients
摘要
本文在系数为非Lipschitz条件下(Lipschitz和线性增长作为其特例),通过构造逐次逼近列的方法证明了随机波动方程适度解的存在唯一性.
Under a non-Lipschitz condition with the Lipschitz condition being considered as a special case and a weakened linear growth condition,we prove existence and uniqueness of mild solution for stochastic wave equation by investigating the convergence of the successive approximations.
出处
《应用数学》
CSCD
北大核心
2011年第4期705-711,共7页
Mathematica Applicata
基金
the National Natural Science Foundation of China(60874114)
关键词
随机波动方程
适度解
存在唯一性
Stochastic wave equation
Mild solution
Existence and uniqueness
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