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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Global uniqueness for a two-dimensional semilinear elliptic inverse problem


Authors: Victor Isakov and Adrian I. Nachman
Journal: Trans. Amer. Math. Soc. 347 (1995), 3375-3390
MSC: Primary 35R30; Secondary 35J60
MathSciNet review: 1311909
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Abstract: For a general class of nonlinear Schrödinger equations $ - \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 $.


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DOI: http://dx.doi.org/10.1090/S0002-9947-1995-1311909-1
PII: S 0002-9947(1995)1311909-1
Article copyright: © Copyright 1995 American Mathematical Society