Unique Continuation, Runge Approximation and the Fractional Calderón Problem
Journées équations aux dérivées partielles (2018), Talk no. 8, 10 p.

In these notes for the proceedings of the “Journée Équations aux Dérivées Partielles”, we survey some of the recent progress in and the interplay of unique continuation, approximation and some related nonlocal inverse problems. In particular, we discuss the qualitative and quantitative global unique continuation properties of the fractional Laplacian and its Runge approximation properties. We explain how this leads to surprising results on the inverse problems for the associated operators.

Published online:
DOI: 10.5802/jedp.668
Keywords: unique continuation, Runge approximation, fractional Calderón problem
Rüland, Angkana 1

1 Max Planck Institute for Mathematics in the Sciences Leipzig Germany
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Rüland, Angkana. Unique Continuation, Runge Approximation and the Fractional Calderón Problem. Journées équations aux dérivées partielles (2018), Talk no. 8, 10 p. doi : 10.5802/jedp.668. http://www.numdam.org/articles/10.5802/jedp.668/

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