Uniqueness for the two dimensional Calderón's problem with unbounded conductivites

Cǎtǎlin I. Cârstea; Jenn Nan Wang

Uniqueness for the two dimensional Calderón's problem with unbounded conductivites

Cǎtǎlin I. Cârstea, Jenn Nan Wang

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研究成果: Article › 同行評審

4 引文斯高帕斯（Scopus）

摘要

In this work we consider the Calderón problem in two dimensions with conductivity γ ∈ W^1,2(Ω). This condition allows for the conductivity to be unbounded. We prove a uniqueness result when ||∇ log γ ||_L2 is bounded by a fixed constant depending on the domain Ω.

原文	English
頁（從 - 到）	1459-1482
頁數	24
期刊	Annali della Scuola normale superiore di Pisa - Classe di scienze
卷	18
發行號	4
出版狀態	Published - 2018

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AB - In this work we consider the Calderón problem in two dimensions with conductivity γ ∈ W1,2(Ω). This condition allows for the conductivity to be unbounded. We prove a uniqueness result when ||∇ log γ ||L2 is bounded by a fixed constant depending on the domain Ω.

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Uniqueness for the two dimensional Calderón's problem with unbounded conductivites

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