期刊论文

中文

湘潭大学学报(自然科学学报)

2096-644X

2010

32

1

1-4

10.3969/j.issn.1000-5900.2010.01.001

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

本校为其他机构

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 un known 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 ...