Displaying similar documents to “Electrical impedance tomography in nonlinear media”

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...

The Calderón problem with partial data

Johannes Sjöstrand (2004)

Journées Équations aux dérivées partielles

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We describe a joint work with C.E. Kenig and G. Uhlmann [] where we improve an earlier result by Bukhgeim and Uhlmann [], by showing that in dimension n ≥ 3 , the knowledge of the Cauchy data for the Schrödinger equation measured on possibly very small subsets of the boundary determines uniquely the potential. We follow the general strategy of [] but use a richer set of solutions to the Dirichlet problem.