Optimal stability estimate in the inverse boundary value problem for periodic potentials with partial data

Sombuddha Bhattacharyya; Cătălin I. Cârstea

doi:10.1016/j.jmaa.2018.06.015

Optimal stability estimate in the inverse boundary value problem for periodic potentials with partial data

Sombuddha Bhattacharyya
, Cătălin I. Cârstea^*

^*此作品的通信作者

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研究成果: Article › 同行評審

1 引文斯高帕斯（Scopus）

摘要

We consider the inverse boundary value problem for operators of the form −△+q in an infinite domain Ω=R×ω⊂R¹⁺ⁿ, n≥3, with a periodic potential q. For Dirichlet-to-Neumann data localized on a portion of the boundary of the form Γ₁=R×γ₁, with γ₁ being the complement either of a flat or spherical portion of ∂ω, we prove that a log-type stability estimate holds.

原文	English
頁（從 - 到）	642-654
頁數	13
期刊	Journal of Mathematical Analysis and Applications
卷	466
發行號	1
DOIs	https://doi.org/10.1016/j.jmaa.2018.06.015
出版狀態	Published - 1 10月 2018

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10.1016/j.jmaa.2018.06.015

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title = "Optimal stability estimate in the inverse boundary value problem for periodic potentials with partial data",

abstract = "We consider the inverse boundary value problem for operators of the form −△+q in an infinite domain Ω=R×ω⊂R1+n, n≥3, with a periodic potential q. For Dirichlet-to-Neumann data localized on a portion of the boundary of the form Γ1=R×γ1, with γ1 being the complement either of a flat or spherical portion of ∂ω, we prove that a log-type stability estimate holds.",

keywords = "Inverse boundary value problems, Stability, Unbounded domain",

author = "Sombuddha Bhattacharyya and C{\^a}rstea, \{C{\u a}t{\u a}lin I.\}",

note = "Publisher Copyright: {\textcopyright} 2018 Elsevier Inc.",

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AU - Bhattacharyya, Sombuddha

AU - Cârstea, Cătălin I.

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Y1 - 2018/10/1

N2 - We consider the inverse boundary value problem for operators of the form −△+q in an infinite domain Ω=R×ω⊂R1+n, n≥3, with a periodic potential q. For Dirichlet-to-Neumann data localized on a portion of the boundary of the form Γ1=R×γ1, with γ1 being the complement either of a flat or spherical portion of ∂ω, we prove that a log-type stability estimate holds.

AB - We consider the inverse boundary value problem for operators of the form −△+q in an infinite domain Ω=R×ω⊂R1+n, n≥3, with a periodic potential q. For Dirichlet-to-Neumann data localized on a portion of the boundary of the form Γ1=R×γ1, with γ1 being the complement either of a flat or spherical portion of ∂ω, we prove that a log-type stability estimate holds.

KW - Inverse boundary value problems

KW - Stability

KW - Unbounded domain

UR - https://www.scopus.com/pages/publications/85048727977

U2 - 10.1016/j.jmaa.2018.06.015

DO - 10.1016/j.jmaa.2018.06.015

M3 - Article

AN - SCOPUS:85048727977

SN - 0022-247X

VL - 466

SP - 642

EP - 654

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 1

ER -

Optimal stability estimate in the inverse boundary value problem for periodic potentials with partial data

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