A non-local inverse problem with boundary response
Tuhin Ghosh
Universität Bielefeld, Germany
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Abstract
The problem of interest in this article is to study the (non-local) inverse problem of recovering a potential based on the boundary measurement associated with the fractional Schrödinger equation. Let , and let solve
We show that, by making an exterior to boundary measurement as , it is possible to determine uniquely in , where is a non-empty open subset and denotes the boundary distance function.
We also discuss a local characterization of large -harmonic functions in a ball or in the half space and its applications, which include boundary unique continuation and a local density result.
Cite this article
Tuhin Ghosh, A non-local inverse problem with boundary response. Rev. Mat. Iberoam. 38 (2022), no. 6, pp. 2011–2032
DOI 10.4171/RMI/1323