摘要
研究了一类具有记忆项的耦合非线性偏微分方程组的初边值问题，运用Galerkin方法证明了初边值问题弱解和强解的存在性，唯一性以及对初值的连续依赖性．
In this paper ,we studied an initial-boundary value problems for a coupled nonlinear partial differential equations with memory term.Existence,uniqueness and continuous dependence upon initial data of weak solution and strong solution are proved by the Galerkin method.
作者
曾燕婷
张建文
ZENG Yan-ting;ZHANG Jian-wen(College of Mathematics, Taiyuan University of Technology, Taiyuan 030600, Chin)
出处
《数学的实践与认识》
北大核心
2018年第10期230-237,共8页
Mathematics in Practice and Theory
基金
国家自然科学基金(11172194)
山西自然基金(2015011006,2014011005)
关键词
记忆项
耦合
非线性项
GALERKIN法
弱解
强解
memory term
coupled
nonlinear term
Galerkin method
weak solution
strong solution
