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

Department of Applied Mathematics

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	1459-1482
Number of pages	24
Journal	Annali della Scuola normale superiore di Pisa - Classe di scienze
Volume	18
Issue number	4
State	Published - 2018

Cite this

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title = "Uniqueness for the two dimensional Calder{\'o}n's problem with unbounded conductivites",

abstract = "In this work we consider the Calder{\'o}n 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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AU - Cârstea, Cǎtǎlin I.

AU - Wang, Jenn Nan

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N2 - 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.

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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VL - 18

SP - 1459

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JF - Annali della Scuola normale superiore di Pisa - Classe di scienze

IS - 4

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

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