Recent progress in the anisotropic electrical impedance problem.
Uhlmann, Gunther (2001)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Uhlmann, Gunther (2001)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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David Dos Santos Ferreira (2007-2008)
Séminaire Équations aux dérivées partielles
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This note reports on recent results on the anisotropic Calderón problem obtained in a joint work with Carlos E. Kenig, Mikko Salo and Gunther Uhlmann []. The approach is based on the construction of complex geometrical optics solutions to the Schrödinger equation involving phases introduced in the work [] of Kenig, Sjöstrand and Uhlmann in the isotropic setting. We characterize those manifolds where the construction is possible, and give applications to uniqueness for the corresponding...
Michor, P.W., Vizman, C. (1994)
Acta Mathematica Universitatis Comenianae. New Series
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G. Belitskii, Yu. Lyubich (1999)
Studia Mathematica
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For the Abel equation on a real-analytic manifold a dynamical criterion of solvability in real-analytic functions is proved.
Grigorios Tsagas (1970)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Motoo Uchida (1993)
Bulletin de la Société Mathématique de France
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Edward Bierstone, Pierre D. Milman (1988)
Publications Mathématiques de l'IHÉS
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Masahiro Shiota (1981)
Publications Mathématiques de l'IHÉS
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