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非线性抛物方程耦合变分的适定性
引用本文:朱昌杰,杜其奎.非线性抛物方程耦合变分的适定性[J].淮北煤炭师范学院学报(自然科学版),1998(2).
作者姓名:朱昌杰  杜其奎
作者单位:淮北煤师院
摘    要:本文应用有限元与边界积分方法求解平面上非线性抛物型方程的初边值问题,给出耦合问题的变分形式,证明变分问题的适定性.

关 键 词:非线性抛物方程  耦合  适定性

The Well-posedness of Coupled Variational Formulation for a Nonlinear Parabolic Equation
Zhu Changjie, Du Qikui.The Well-posedness of Coupled Variational Formulation for a Nonlinear Parabolic Equation[J].Journal of Huaibei Coal Industry Teachers College(Natural Science edition),1998(2).
Authors:Zhu Changjie  Du Qikui
Institution:Huaibei Coal Mining Teachers College
Abstract:In this paper,we apply the coupling of finite element and boundary integral methods to solvethe nibal boundary value problem of nonlinear parabolic equahons.The variahonal formulahon ofthe coupled problem is given,and the well-posedness of the variahonal problem is proved.
Keywords:nonlinear parabolic equation  coupling  well-posedness
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