论文标题
半线性椭圆逆问题的稳定性不平等
Stability inequality for a semilinear elliptic inverse problem
论文作者
论文摘要
我们为从相应的dirichlet到neumann映射（本文其余部分中的dirichlet to-neumann映射）中建立了一个对数稳定性不等式，该反向问题是确定非线性项的反向问题，该术语出现在半线性BVP中。我们的结果可以看作是Isakov和Sylvester [Commun。纯应用。数学。 47（1994），1403-1410]。
We establish a logarithmic stability inequality for the inverse problem of determining the non linear term, appearing in a semilinear BVP, from the corresponding Dirichlet-to-Neumann map (abbreviated to DtN map in the rest of this text). Our result can be seen as a stability inequality for an earlier uniqueness result by Isakov and Sylvester [Commun. Pure Appl. Math. 47 (1994), 1403-1410].
