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Determination of the conductivity of an isotropic medium

Authors
Journal
Journal of Mathematical Analysis and Applications
0022-247X
Publisher
Elsevier
Publication Date
Volume
48
Issue
3
Identifiers
DOI: 10.1016/0022-247x(74)90144-9
Disciplines
  • Mathematics

Abstract

Abstract The positive but unknow coefficient a( y) in the partial differential equation a(y) ∂ 2u ∂x 2 + ∂ ∂y(a(y) ∂u ∂y ) = 0 in 0 < x, y < 1 is determined from a mixture of Dirichlet and Neumann data together with the additional specification of the “flux”: a(y) ∂u ∂x(0, y) = g(y) .

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