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Identification of the curve of discontinuity of the determinant of the anisotropic conductivity
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M. Ikehata
Veröffentlicht/Copyright:
7. September 2013
Abstract
- Consider an anisotropic conductor of electric current which occupies a domain Ω ⊂ℝ2 with conductivity coefficient A = A0 +BχD, where D is a subdomain of Ω, A0 and A0+B are real, symmetric, uniformly positive definite and 2×2-matrix-valued functions. Denote by ΛA(f) the flux across ∂Ω induced by an electric potential f on ∂Ω. We prove that D can be uniquely determined by ΛA(f) for infinitely many f provided det A is discontinuous on ∂D and B is small on ∂D.
Published Online: 2013-09-07
Published in Print: 2000-06
© 2013 by Walter de Gruyter GmbH & Co.
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Artikel in diesem Heft
- Contents
- On symmetry condition of images of Fourier – Gelfand – Graev integral transformation
- Subdifferential inverse problems for evolution Navier – Stokes systems
- Stability results for solutions of a linear parabolic noncharacteristic Cauchy problem
- Identification of the curve of discontinuity of the determinant of the anisotropic conductivity
- Group analysis and formulas in inverse problems of mathematical physics
- A numerical method for solving the inverse scattering problem with fixed-energy phase shifts
- A multifunctional extension of function spaces: chaotic systems are maximally ill-posed
- Integral geometry problems for symmetric tensor fields with incomplete data
Artikel in diesem Heft
- Contents
- On symmetry condition of images of Fourier – Gelfand – Graev integral transformation
- Subdifferential inverse problems for evolution Navier – Stokes systems
- Stability results for solutions of a linear parabolic noncharacteristic Cauchy problem
- Identification of the curve of discontinuity of the determinant of the anisotropic conductivity
- Group analysis and formulas in inverse problems of mathematical physics
- A numerical method for solving the inverse scattering problem with fixed-energy phase shifts
- A multifunctional extension of function spaces: chaotic systems are maximally ill-posed
- Integral geometry problems for symmetric tensor fields with incomplete data
