Abstract
We consider the Cauchy data associated to the Schrödinger equation with a potential on a bounded domain Ω⊂ℝn, n≥3. We show that the integral of the potential over a two-plane Π is determined by the Cauchy data of certain exponentially growing solutions on any open subset $\mathscr{U}$⊂∂Ω which contains Π∩∂Ω.
Citation
Allan Greenleaf. Gunther Uhlmann. "Local uniqueness for the Dirichlet-to-Neumann map via the two-plane transform." Duke Math. J. 108 (3) 599 - 617, 15 June 2001. https://doi.org/10.1215/S0012-7094-01-10837-5
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