Inverse boundary value problems for the perturbed polyharmonic operator
Inverse boundary value problems for the perturbed polyharmonic operator
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DOI：
10.1090/s0002-9947-2013-05713-3
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发表时间：
2011-02
影响因子：
1.3
通讯作者：
Katsiaryna Krupchyk;M. Lassas;G. Uhlmann
中科院分区：
文献类型：
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作者：
Katsiaryna Krupchyk;M. Lassas;G. Uhlmann
作者：Krupchyk，K; Lassas，M; Uhlmann，G|摘要：证明了在n（n ≥ 3）中的有界区域上，多调和算子（-Δ）m（m ≥ 2）的一阶扰动A（x）· D + q（x）可以由扰动多调和算子的Cauchy数据集唯一确定.注意，当m = 1时，相应的结果一般不成立。© 2013美国数学学会。
Author(s): Krupchyk, K; Lassas, M; Uhlmann, G | Abstract: We show that a first order perturbation A(x) · D + q(x) of the polyharmonic operator (-Δ)m, m ≥ 2, can be determined uniquely from the set of the Cauchy data for the perturbed polyharmonic operator on a bounded domain in ℝn, n ≥ 3. Notice that the corresponding result does not hold in general when m = 1. © 2013 American Mathematical Society.