Local uniqueness for the Dirichlet-to-Neumann map via the two-plane transform

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We consider the Dirichlet-to-Neumann map associated to the Schrödinger equation with a potential in a bounded Lipschitz domain in three or more dimensions. We show that the integral of the potential over a two-plane is determined by the Cauchy data of certain exponentially growing solutions on any neighborhood of the intersection of the two-plane with the boundary.
Final revision, to appear in the Duke Mathmematical Journal

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Analysis of PDEs, Mathematical Physics, 35R30; 44A12

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http://salesiana.dossiersoluciones.com/handle/123456789/58543

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0001099
 http://arxiv.org/abs/math/0001099

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arXiv