Identification of the shape of the inclusion having essentially bounded conductivity
Identification of the shape of the inclusion having essentially bounded conductivity
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识别具有基本有限电导率的夹杂物的形状
DOI：
10.1515/jiip.1999.7.6.533
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发表时间：
1999
期刊：
影响因子：
2.1
通讯作者：
Masaru Ikehata
中科院分区：
文献类型：
--
作者：
Masaru Ikehata
考虑一个各向同性的电流导体，它占据一个域Ω CR（n > 2），其电导率系数为π = 1 + 1 × π，其中D是Ω的一个具有Lipschitz边界的开子集。我们假设Ω \ D是连通的，并且对于几乎所有具有正常数C的χ 6 D，h € L°°（D）满足1 + h（x）> C。用Λ7（f）表示由0Ω上的电势f引起的穿过0Ω的通量。我们假设D和h是未知的。本文讨论了利用Λ7（/）对无穷多个/确定D的唯一性.我们证明了在D中h不作任何正则性假设的情况下，可以确定D。
Consider an isotropic conductor of electric current which occupies a domain Ω C R(n > 2) with conductivity coefficient 7 = 1 + /ιχζ>, where D is an open subset of Ω with Lipschitz boundary. We assume that Ω \ D is connected and that h € L°°(D) satisfies 1 + h(x) > C for almost all χ 6 D with positive constant C. Denote by Λ7(/) the flux across 0Ω induced by a electric potential / on 0Ω. We assume that D and h are unknown. This paper concerns the unique determination of D by means of Λ7(/) for infinitely many /. We prove that one can determine D without any regularity assumption on h in D.