On determining a riemannian manifold from the Dirichlet-to-Neumann map
Matti Lassas, Gunther Uhlmann (2001)
Annales scientifiques de l'École Normale Supérieure
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Displaying similar documents to “Recent progress in the anisotropic electrical impedance problem.”
On determining a riemannian manifold from the Dirichlet-to-Neumann map
Anisotropic inverse problems and Carleman estimates
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...
Recent progress on the boundary rigidity problem.
Stefanov, Plamen, Uhlmann, Gunther (2005)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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Inverse Problems: Visibility and Invisibility
Gunther Uhlmann (2012)
Journées Équations aux dérivées partielles
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This survey article expands on the lectures given at Biarritz in June, 2012, on “Inverse Problems: Visibility and Invisibility". The first inverse problem we consider is whether one can determine the electrical conductivity of a medium by making voltage and current measurements at the boundary. This is called electrical impedance tomography (EIT) and also Calderón’s problem since the famous analyst proposed it in the mathematical literature []. The second is on travel time tomography....
Killing forms in a riemannian manifold with boundary
Grigorios Tsagas (1970)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Vector fields and infinitesimal transformations on riemannian manifolds with boundary
Chuan-Chih. Hsiung (1964)
Bulletin de la Société Mathématique de France
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Ahlfors theorems for differential forms.
Martio, O., Miklyukov, V.M., Vuorinen, M. (2010)
Abstract and Applied Analysis
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About a decomposition of the space of symmetric tensors of compact support on a Riemann manifold.
Gil-Medrano, O., Montesinos Amilibia, A. (1994)
The New York Journal of Mathematics [electronic only]
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