一类反系数问题拟解的存在性(英文)  

The Existence of Quasi-Solution of an Inverse Coefficient Problem

作　　者：肖翠娥[1,2] 刘振海[1] 

机构地区：[1]中南大学数学科学与计算技术学院,湖南长沙410075 [2]湖南城市学院数学与计算科学系,湖南益阳413000

出　　处：《湘潭大学自然科学学报》2010年第1期1-4,共4页Natural Science Journal of Xiangtan University

基　　金：国家自然科学基金项目(10671211);湖南省教育厅项目(08C205)

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.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 theo- rem. The quasi-solution of the inverse coefficient problem is obtained in the appropriate class of admissible coefficients.

关 键 词：位势算子 弱解 反系数问题 拟解 

分 类 号：O172.25[理学—数学]