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Global uniqueness for a two-dimensional semilinear elliptic inverse problem. (English) Zbl 0849.35148
Authors’ abstract: For a general class of nonlinear Schrödinger equation $$- \Delta u+ a(x, u)= 0$$ in a bounded planar domain $$\Omega$$ we show that the function $$a(x, u)$$ can be recovered from knowledge of the corresponding Dirichlet-to-Neumann map on the boundary $$\partial \Omega$$.

##### MSC:
 35R30 Inverse problems for PDEs 35J10 Schrödinger operator, Schrödinger equation 35J25 Boundary value problems for second-order elliptic equations
##### Keywords:
global uniqueness; Dirichlet-to-Neumann map
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##### References:
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