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Volumn 163, Issue 1, 2006, Pages 265-299

Calderón's inverse conductivity problem in the plane

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EID: 30444450433     PISSN: 0003486X     EISSN: 0003486X     Source Type: Journal    
DOI: 10.4007/annals.2006.163.265     Document Type: Article
Times cited : (517)

References (33)
  • 3
    • 0002221589 scopus 로고
    • Area distortion of quasiconformal mappings
    • K. ASTALA, Area distortion of quasiconformal mappings, Acta Math. 173 (1994), 37-60.
    • (1994) Acta Math. , vol.173 , pp. 37-60
    • Astala, K.1
  • 5
    • 33746091544 scopus 로고    scopus 로고
    • Elliptic partial differential equations and quasi-conformal mappings in the plane
    • K. ASTALA, T. IWANIEC, and G. MARTIN, Elliptic partial differential equations and quasi-conformal mappings in the plane, Monograph in preparation.
    • Monograph in Preparation
    • Astala, K.1    Iwaniec, T.2    Martin, G.3
  • 6
    • 17444429256 scopus 로고    scopus 로고
    • Calderón's inverse conductivity problem for anisotropic conductivities in the plane
    • K. ASTALA, M. LASSAS, and L. PÄIVÄRINTA, Calderón's inverse conductivity problem for anisotropic conductivities in the plane, Comm. Partial Diff. Equations 30 (2005), 207-224.
    • (2005) Comm. Partial Diff. Equations , vol.30 , pp. 207-224
    • Astala, K.1    Lassas, M.2    Päivärinta, L.3
  • 8
    • 0007112708 scopus 로고
    • The spectral problem for the Davey-Stewartson and Ishimori hierarchies
    • Manchester Univ. Press, Manchester
    • R. SEALS and R. COIFMAN, The spectral problem for the Davey-Stewartson and Ishimori hierarchies, in Nonlinear Evolution Equations Integrability and Spectral Methods, 15-23, Manchester Univ. Press, Manchester (1988).
    • (1988) Nonlinear Evolution Equations Integrability and Spectral Methods , pp. 15-23
    • Seals, R.1    Coifman, R.2
  • 9
    • 0041799836 scopus 로고
    • Institute for Mathematics and Mechanics, New York University, New York
    • L. BERS, Theory of Pseudo-analytic Functions, Institute for Mathematics and Mechanics, New York University, New York, 1953.
    • (1953) Theory of Pseudo-analytic Functions
    • Bers, L.1
  • 10
    • 0001659228 scopus 로고    scopus 로고
    • Uniqueness in the inverse conductivity problem for non-smooth conductivities in two dimensions
    • R. BROWN and G. UHLMANN, Uniqueness in the inverse conductivity problem for non-smooth conductivities in two dimensions, Comm. Partial Diff. Equations 22 (1997), 1009-1027.
    • (1997) Comm. Partial Diff. Equations , vol.22 , pp. 1009-1027
    • Brown, R.1    Uhlmann, G.2
  • 15
    • 0000141360 scopus 로고
    • Quasiconformal mapping problem for general nonlinear systems of partial differential equations
    • Academic Press, London
    • T. IWANIEC, Quasiconformal mapping problem for general nonlinear systems of partial differential equations, Symposia Mathernatica XVIII, 501-517, Academic Press, London, 1976.
    • (1976) Symposia Mathernatica , vol.18 , pp. 501-517
    • Iwaniec, T.1
  • 16
    • 0002787075 scopus 로고
    • Extremal inequalities in Sobolev spaces and quasiconformal mappings
    • _, Extremal inequalities in Sobolev spaces and quasiconformal mappings, Z. Anal. Anwendungen 1 (1982), 1-16.
    • (1982) Z. Anal. Anwendungen , vol.1 , pp. 1-16
  • 18
    • 1842683121 scopus 로고    scopus 로고
    • Reconstruction of less regular conductivities in the plane
    • K. KNUDSEN and A. TAMASAN, Reconstruction of less regular conductivities in the plane, Comm. Partial Differential Equations 29 (2004), 361-381.
    • (2004) Comm. Partial Differential Equations , vol.29 , pp. 361-381
    • Knudsen, K.1    Tamasan, A.2
  • 19
    • 84990583776 scopus 로고
    • Determining conductivity by boundary measurements
    • R. V. KOHN and M. VOGELIUS, Determining conductivity by boundary measurements, Comm. Pure Appl. Math. 37 (1984), 289-298.
    • (1984) Comm. Pure Appl. Math. , vol.37 , pp. 289-298
    • Kohn, R.V.1    Vogelius, M.2
  • 20
    • 84990557216 scopus 로고
    • Determining conductivity by boundary measurements. II. Interior results
    • _, Determining conductivity by boundary measurements. II. Interior results, Comm. Pure Appl. Math. 38 (1985), 643-667.
    • (1985) Comm. Pure Appl. Math. , vol.38 , pp. 643-667
  • 22
    • 0030550779 scopus 로고    scopus 로고
    • Global uniqueness for a two-dimensional inverse boundary value problem
    • A. NACHMAN, Global uniqueness for a two-dimensional inverse boundary value problem, Ann. of Math. 143 (1996), 71-96.
    • (1996) Ann. of Math. , vol.143 , pp. 71-96
    • Nachman, A.1
  • 23
    • 0000426306 scopus 로고
    • Reconstructions from boundary measurements
    • _, Reconstructions from boundary measurements, Ann. of Math. 128 (1988), 531-576.
    • (1988) Ann. of Math. , vol.128 , pp. 531-576
  • 26
    • 0037908702 scopus 로고    scopus 로고
    • Complex geometric optics solutions for Lipschitz conductivities
    • L. PÄIVÄRINTA, A. PANCHENKO, and G. UHLMANN, Complex geometric optics solutions for Lipschitz conductivities, Rev. Mat. Iberoamericana 19 (2003), 57-72.
    • (2003) Rev. Mat. Iberoamericana , vol.19 , pp. 57-72
    • Päivärinta, L.1    Panchenko, A.2    Uhlmann, G.3
  • 27
    • 0000115945 scopus 로고    scopus 로고
    • An implementation of the reconstruction algorithm of A. Nachman for the 2-D inverse conductivity problem
    • S. SILTANEN, J. MUELLER, and D. ISAACSON, An implementation of the reconstruction algorithm of A. Nachman for the 2-D inverse conductivity problem, Inverse Problems 16 (2000), 681-699.
    • (2000) Inverse Problems , vol.16 , pp. 681-699
    • Siltanen, S.1    Mueller, J.2    Isaacson, D.3
  • 29
    • 84974001727 scopus 로고
    • Generic uniqueness for an inverse boundary value problem
    • ZI SUN and G. UHLMANN, Generic uniqueness for an inverse boundary value problem, Duke Math. J. 62 (1991), 131-155.
    • (1991) Duke Math. J. , vol.62 , pp. 131-155
    • Sun, Z.I.1    Uhlmann, G.2
  • 30
    • 0001110912 scopus 로고
    • A global uniqueness theorem for an inverse boundary value problem
    • J. SYLVESTER and G. UHLMANN, A global uniqueness theorem for an inverse boundary value problem, Ann. of Math. 125 (1987), 153-169.
    • (1987) Ann. of Math. , vol.125 , pp. 153-169
    • Sylvester, J.1    Uhlmann, G.2


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