On a nonlinear model in domains with cavities arising from cardiac electrophysiology

Elena Beretta; M. Cristina Cerutti; Dario Pierotti

On a nonlinear model in domains with cavities arising from cardiac electrophysiology

Elena Beretta, M. Cristina Cerutti, Dario Pierotti

Mathematics

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

Abstract

In this paper we deal with the problem of determining perfectly insulating regions (cavities) from boundary measurements in a nonlinear elliptic equation arising from cardiac electrophysiology. With minimal regularity assumptions on the cavities, we first show well-posedness of the direct problem and then prove uniqueness for the inverse problem.

Original language	English (US)
Article number	105005
Journal	Inverse Problems
Volume	38
Issue number	10
State	Published - Oct 2022

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title = "On a nonlinear model in domains with cavities arising from cardiac electrophysiology",

abstract = "In this paper we deal with the problem of determining perfectly insulating regions (cavities) from boundary measurements in a nonlinear elliptic equation arising from cardiac electrophysiology. With minimal regularity assumptions on the cavities, we first show well-posedness of the direct problem and then prove uniqueness for the inverse problem.",

author = "Elena Beretta and Cerutti, {M. Cristina} and Dario Pierotti",

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T1 - On a nonlinear model in domains with cavities arising from cardiac electrophysiology

AU - Beretta, Elena

AU - Cerutti, M. Cristina

AU - Pierotti, Dario

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N2 - In this paper we deal with the problem of determining perfectly insulating regions (cavities) from boundary measurements in a nonlinear elliptic equation arising from cardiac electrophysiology. With minimal regularity assumptions on the cavities, we first show well-posedness of the direct problem and then prove uniqueness for the inverse problem.

AB - In this paper we deal with the problem of determining perfectly insulating regions (cavities) from boundary measurements in a nonlinear elliptic equation arising from cardiac electrophysiology. With minimal regularity assumptions on the cavities, we first show well-posedness of the direct problem and then prove uniqueness for the inverse problem.

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VL - 38

JO - Inverse Problems

JF - Inverse Problems

IS - 10

M1 - 105005

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On a nonlinear model in domains with cavities arising from cardiac electrophysiology

Abstract

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