Abstract

We establish a representation formula for solutions to the Schrödinger equation in a domain in terms of the cauchy data on a part of ∂W The formula and the idea of the derivation are different front that of Carleman type even in the case when V(x) is a constant We make use of a family of special solutions to the equation where D is a triangle, tetrahedron for n=2,3, respectively and is the characteristic function of D.

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