AN INVERSE BOUNDARY-VALUE PROBLEM FOR SEMILINEAR ELLIPTIC EQUATIONS

被引：0
|
作者：
Sun, Ziqi [1 ]
机构：
[1] Wichita State Univ, Dept Math & Stat, Wichita, KS 67260 USA
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2010年
关键词：
Inverse Problem; Dirichlet to Neumann map; GLOBAL UNIQUENESS;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We show that in dimension two or greater, a certain equivalence class of the scalar coefficient a(x, u) of the semilinear elliptic equation Delta u + a(x, u) = 0 is uniquely determined by the Dirichlet to Neumann map of the equation on a bounded domain with smooth boundary. We also show that the coefficient a(x, u) can be determined by the Dirichlet to Neumann map under some additional hypotheses.
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页数：5
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