paper

On an inverse problem for a fractional semilinear elliptic equation involving a magnetic potential

arXiv:2005.06714 · doi:10.1016/j.jde.2021.06.003

Abstract

We study a class of fractional semilinear elliptic equations and formulate the corresponding Calderón problem. We determine the nonlinearity from the exterior partial measurements of the Dirichlet-to-Neumann map by using first order linearization and the Runge approximation property.

14 pages

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