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arXiv · 2005.06714

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

Li Li
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Abstract

We study a class of fractional semilinear elliptic equations and formulate the corresponding Calder\'on 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.

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Li Li. 2020-05-14. On an inverse problem for a fractional semilinear elliptic equation involving a magnetic potential. https://doi.org/10.1016/j.jde.2021.06.003

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