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March, 2003 Complex geometrical optics solutions for Lipschitz conductivities
Alexander Panchenko, Lassi Päivärinta, Gunther Uhlmann
Rev. Mat. Iberoamericana 19(1): 57-72 (March, 2003).


We prove the existence of complex geometrical optics solutions for Lipschitz conductivities. Moreover we show that, in dimensions $n\ge 3$ that one can uniquely recover a $W^{3/2, \infty}$ conductivity from its associated Dirichlet-to-Neumann map or voltage to current map.


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Alexander Panchenko. Lassi Päivärinta. Gunther Uhlmann. "Complex geometrical optics solutions for Lipschitz conductivities." Rev. Mat. Iberoamericana 19 (1) 57 - 72, March, 2003.


Published: March, 2003
First available in Project Euclid: 31 March 2003

zbMATH: 1055.35144
MathSciNet: MR1993415

Primary: 35Q60 , 35R30

Keywords: Complex Geometrical Optics , electrical impedance tomography , Lipschitz Conductivities

Rights: Copyright © 2003 Departamento de Matemáticas, Universidad Autónoma de Madrid

Vol.19 • No. 1 • March, 2003
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