A remark on partial data inverse problems for semilinear elliptic equations

Krupchyk, Katya; Uhlmann, Gunther

doi:10.1090/proc/14844

A remark on partial data inverse problems for semilinear elliptic equations
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by Katya Krupchyk and Gunther Uhlmann PDF

Proc. Amer. Math. Soc. 148 (2020), 681-685 Request permission

Abstract:

We show that the knowledge of the Dirichlet-to-Neumann map on an arbitrary open portion of the boundary of a domain in $\mathbb {R}^n$, $n\ge 2$, for a class of semilinear elliptic equations uniquely determines the nonlinearity.

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