Identification of a constant coefficient in an elliptic equation

The identification of an unknown constant coefficient in the main term of elliptic second order differential equation kMu + g(x)u = f(x) with the Dirichlet boundary condition is considered. The elliptic operator M is self-adjoint and bounded in . The identification of k here is based on an integral...

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Vydáno v:Applicable analysis Ročník 87; číslo 10-11; s. 1121 - 1128
Hlavní autor: Lyubanova, A.Sh
Médium: Journal Article
Jazyk:angličtina
Vydáno: Taylor & Francis Group 01.10.2008
Témata:
boundary value problems for second-order elliptic equations
filtration
inverse problems for PDE
local existence and uniqueness theorems
ISSN:0003-6811, 1563-504X
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Abstract The identification of an unknown constant coefficient in the main term of elliptic second order differential equation kMu + g(x)u = f(x) with the Dirichlet boundary condition is considered. The elliptic operator M is self-adjoint and bounded in . The identification of k here is based on an integral boundary data. The local existence and uniqueness theorem for the inverse problem is proved in the class of the pairs involving a function and a positive real number k. The uniqueness is obtained by a new approach.
AbstractList The identification of an unknown constant coefficient in the main term of elliptic second order differential equation kMu + g(x)u = f(x) with the Dirichlet boundary condition is considered. The elliptic operator M is self-adjoint and bounded. The identification of k here is based on an integral boundary data. The local existence and uniqueness theorem for the inverse problem is proved in the class of the pairs involving a function and a positive real number k. The uniqueness is obtained by a new approach.
The identification of an unknown constant coefficient in the main term of elliptic second order differential equation kMu + g(x)u = f(x) with the Dirichlet boundary condition is considered. The elliptic operator M is self-adjoint and bounded in . The identification of k here is based on an integral boundary data. The local existence and uniqueness theorem for the inverse problem is proved in the class of the pairs involving a function and a positive real number k. The uniqueness is obtained by a new approach.
Author Lyubanova, A.Sh
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Cites_doi 10.1007/3-540-57195-7_29
10.1016/0022-0396(90)90078-4
10.1216/RMJ-1983-13-3-383
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SubjectTerms boundary value problems for second-order elliptic equations
filtration
inverse problems for PDE
local existence and uniqueness theorems
Title Identification of a constant coefficient in an elliptic equation
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