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非线性SIBq方程组的局部强解
引用本文:邢家省,宋长明.非线性SIBq方程组的局部强解[J].河南科学,1993,11(4):245-248.
作者姓名:邢家省  宋长明
作者单位:郑州大学数学系,郑州纺织工学院,河南省计算中心 郑州 450052,郑州 450007,郑州 450003
摘    要:考虑多维SIBq方程组的初边值问题,采用Galerkin方法和能量估计及紧致性原理,证明了该问题局部强解的存在唯一性。

关 键 词:SIBq方程组  加辽金法  局部强解

LOCAL STRONG SOLUTION FOR THE NONLINEAR SIBq EQUATIONS
Xing Jiasheng,Song Changming,Zhang Yuanzhang Zhengzhou University,Zhengzhou Zhengzhou Textile Institute,Zhengzhou Henan Computer Center,Zhengzhou.LOCAL STRONG SOLUTION FOR THE NONLINEAR SIBq EQUATIONS[J].Henan Science,1993,11(4):245-248.
Authors:Xing Jiasheng  Song Changming  Zhang Yuanzhang Zhengzhou University  Zhengzhou Zhengzhou Textile Institute  Zhengzhou Henan Computer Center  Zhengzhou
Institution:Xing Jiasheng,Song Changming,Zhang Yuanzhang Zhengzhou University,Zhengzhou 450052 Zhengzhou Textile Institute,Zhengzhou 450007 Henan Computer Center,Zhengzhou 450003
Abstract:This paper consider the initial--boundary value problem for a class of system of mul- tidimensional nonlinear SIBq equations. The existence and uniqueness of the local strong solution for the initial--boundary value problem are proved by the Galerkin method, ener- gy estimates method and the theory of compactness.
Keywords:SIBq equations  Galerkin method  Local strong solution
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