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一类抛物方程组解的存在唯一性及关于耦合函数的连续依赖性
引用本文:谷菲菲,潘佳庆. 一类抛物方程组解的存在唯一性及关于耦合函数的连续依赖性[J]. 数学研究, 2012, 0(1): 25-32
作者姓名:谷菲菲  潘佳庆
作者单位:集美大学理学院
摘    要:利用上、下解方法讨论了抛物方程组解的存在唯一性,并证明了解关于耦合函数的连续依赖性,同时给出了误差估计.

关 键 词:抛物方程组  存在唯一性  耦合函数  连续依赖性

The Existence and Uniqueness and Continuous Dependence on Coupling Functions of Solutions of a Class of Parabolic Systems
Gu Feifei Pan Jiaqing. The Existence and Uniqueness and Continuous Dependence on Coupling Functions of Solutions of a Class of Parabolic Systems[J]. Journal of Mathematical Study, 2012, 0(1): 25-32
Authors:Gu Feifei Pan Jiaqing
Affiliation:Gu Feifei Pan Jiaqing (Department of Mathematics,Jimei University,Xiamen Fujian 361021)
Abstract:The upper and lower solutions method is applied to discuss the existence and uniqueness of solutions of a class of parabolic systems.Also the continuous dependence on coupling functions of solutions is proved and a explicit error-estimate is given.
Keywords:Parabolic systems  Existence and uniqueness  Coupling functions  Continuous dependence
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