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Conjectures in inverse boundary value problems for quasilinear elliptic equations
Sun, Ziqi
Sun, Ziqi
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2005-12
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Article
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Inverse boundary value problem. Dirichlet to Neumann map
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Citation
Sun, Ziqi. 2005. Conjectures in Inverse Boundary Value Problems for Quasilinear Elliptic Equations. Cubo, a Mathematical Journal.
Abstract
Inverse boundary value problems originated in early 80’s, from the contribution
of A.P. Calderon on the inverse conductivity problem [C], in which one
attempts to recover the electrical conductivity of a body by means of boundary
measurements on the voltage and current. Since then, the area of inverse
boundary value problems for linear elliptic equations has undergone a great deal
of development [U]. The theoretical growth of this area contributes to many areas
of applications ranging from medical imaging to various detection techniques
[B-B][Che-Is].
In this paper we discuss several conjectures in the inverse boundary value
problems for quasilinear elliptic equations and their recent progress. These problems
concern anisotropic quasilinear elliptic equations in connection with nonlinear
materials and the nonlinear elasticity system.
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Access to full text in SOAR is currently suppressed. Publisher's copy of this article is accessible at: http://www.dmat.ufpe.br/CUBO/files/7_3_2005.pdf#page=64
Publisher
Department of Mathematics of the Universidad de la Frontera Temuco-Chile and the Department of Mathematics of the Universidade Federal de Pernambuco, Recife-Brazil
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Cubo, a Mathematical Journal;v.7 no.3
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0716-7776