The Calderon problem for conormal potentials, I: Global uniqueness and reconstruction

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In dimensions greater than or equal to three, we establish global uniqueness and obtain reconstruction in the Calderon problem for the Schrodinger equation with certain singular potentials. The potentials considered are conormal of order less than 1-k with respect to submanifolds (of arbitrary codimension k). This gives positive results for (conormal) conductivities which are Holder of any order > 1. A related problem for highly singular potentials is shown to exhibit nonuniqueness.
Final revision with corrections; 23 pages; to appear in Comm. Pure Appl. Math

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Analysis of PDEs, Mathematical Physics, 35R30 (Primary), 35R05 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/62881

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0112130
 http://arxiv.org/abs/math/0112130

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arXiv