| 一类反系数问题拟解的存在性(英文) |
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| 引用本文： | 肖翠娥,刘振海.一类反系数问题拟解的存在性(英文)[J].湘潭大学自然科学学报,2010,32(1):1-4. |
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| 作者姓名： | 肖翠娥 刘振海 |
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| 作者单位： | 1. 中南大学,数学科学与计算技术学院,湖南,长沙410075;湖南城市学院,数学与计算科学系,湖南,益阳413000
2. 中南大学,数学科学与计算技术学院,湖南,长沙410075 |
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| 基金项目： | 国家自然科学基金，湖南省教育厅资助项目 |
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| 摘 要： | 讨论了一类非线性位势算子反系数问题的拟解的存在性,利用单调位势算子理论和Browder-Minty定理,证明了问题弱解的存在唯一性,并在合适的容许系数集中得到了反系数问题拟解的存在性.
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| 关 键 词： | 位势算子 弱解 反系数问题 拟解 |
The Existence of Quasi-Solution of an Inverse Coefficient Problem |
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| XIAO Cui-e,LIU Zhen-hai.The Existence of Quasi-Solution of an Inverse Coefficient Problem[J].Natural Science Journal of Xiangtan University,2010,32(1):1-4. |
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| Authors: | XIAO Cui-e LIU Zhen-hai |
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| Institution: | XIAO Cui-e1,2*,LIU Zhen-hai1(1.School of Mathematical Sciences , Computing Technology,Central South University,Changsha 410075,2.Department of Mathematics , Computation Sciences,Hunan City University,Yiyang 413000 China) |
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| Abstract: | This paper discusses the inverse coefficient problem for nonlinear potential operator.An unknown leading coefficient depends on the gradient of the solution in the equation,moreover,the coefficient is determined only by two measurement data.We have proved that an existence and uniqueness theorem of weak solutions of direct problem by using the monotone potential operator theories and Browder-Minty theorem.The quasi-solution of the inverse coefficient problem is obtained in the appropriate class of admissibl... |
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| Keywords: | potential operator weak solution inverse coefficient problem quasi-solution |
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