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关于非线性抛物型方程组的两类边值问题
引用本文:许克明,杨广武.关于非线性抛物型方程组的两类边值问题[J].宁夏大学学报(自然科学版),1998,19(1):69-70.
作者姓名:许克明  杨广武
作者单位:河北科技大学基础部
摘    要:ONTWOKINDSOFBOUNDARYVALUEPROBLEMFORNONLINEARPARABOLICSYSTEMOFEQUATIONS*XuKemingYangGuangwuDepartmentofFundamentalCourses,Hebe...

关 键 词:抛物型方程组  边值问题  先验估计  非线性

ON TWO KINDS OF BOUNDARY VALUE PROBLEM FOR NONLINEAR PARABOLIC SYSTEM OF EQUATIONS
Xu Keming,Yang Guangwu.ON TWO KINDS OF BOUNDARY VALUE PROBLEM FOR NONLINEAR PARABOLIC SYSTEM OF EQUATIONS[J].Journal of Ningxia University(Natural Science Edition),1998,19(1):69-70.
Authors:Xu Keming  Yang Guangwu
Institution:Xu Keming Yang Guangwu Department of Fundamental Courses,Hebei University of Science & Technology,050018,Shijiazhuang,China
Abstract:The condition of boundary value problems is first given. Then some properties of parabolic operators have been discussed,and the priori estimates of solutions for the Dirichlet problem and Neumann problem are given. Finally the solvability of two kinds of boundary value problems by using the method of parameter extension and Schauder fixed point theorem are proved.
Keywords:parabolic system of equations  boundary value problem  a priori estimate
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