Identifications of parameters in ill-posed linear parabolic equations

Chaohua Jia; Gengsheng Wang

doi:10.1016/j.na.2004.03.011

Identifications of parameters in ill-posed linear parabolic equations

Chaohua Jia^*
, Gengsheng Wang

^*此作品的通讯作者

CAS - Academy of Mathematics and System Sciences
Central China Normal University

科研成果: 期刊稿件 › 文章 › 同行评审

12 引用（Scopus）

摘要

In this paper, we study the identification of conductivities q in linear parabolic equation ∂y/∂t-∇·(q∇y)=f in Ω×(0,T) with boundary condition y(x,t)=0 on ∂Ω×(0, T) and without initial data, where the observations are taken in an open subset of Ω. We obtain the existence and introduce an approximation process for the identification problem.

源语言	英语
页（从-至）	677-686
页数	10
期刊	Nonlinear Analysis, Theory, Methods and Applications
卷	57
期	5-6
DOI	https://doi.org/10.1016/j.na.2004.03.011
出版状态	已出版 - 5月 2004
已对外发布	是

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title = "Identifications of parameters in ill-posed linear parabolic equations",

abstract = "In this paper, we study the identification of conductivities q in linear parabolic equation ∂y/∂t-∇·(q∇y)=f in Ω×(0,T) with boundary condition y(x,t)=0 on ∂Ω×(0, T) and without initial data, where the observations are taken in an open subset of Ω. We obtain the existence and introduce an approximation process for the identification problem.",

keywords = "Carleman inequality, Identifications of parameters, Linear parabolic equations",

author = "Chaohua Jia and Gengsheng Wang",

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AU - Jia, Chaohua

AU - Wang, Gengsheng

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N2 - In this paper, we study the identification of conductivities q in linear parabolic equation ∂y/∂t-∇·(q∇y)=f in Ω×(0,T) with boundary condition y(x,t)=0 on ∂Ω×(0, T) and without initial data, where the observations are taken in an open subset of Ω. We obtain the existence and introduce an approximation process for the identification problem.

AB - In this paper, we study the identification of conductivities q in linear parabolic equation ∂y/∂t-∇·(q∇y)=f in Ω×(0,T) with boundary condition y(x,t)=0 on ∂Ω×(0, T) and without initial data, where the observations are taken in an open subset of Ω. We obtain the existence and introduce an approximation process for the identification problem.

KW - Carleman inequality

KW - Identifications of parameters

KW - Linear parabolic equations

UR - https://www.scopus.com/pages/publications/2542475934

U2 - 10.1016/j.na.2004.03.011

DO - 10.1016/j.na.2004.03.011

M3 - 文章

AN - SCOPUS:2542475934

SN - 0362-546X

VL - 57

SP - 677

EP - 686

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

IS - 5-6

ER -

Identifications of parameters in ill-posed linear parabolic equations

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