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.
@incollection{JEDP_2018____A8_0,
author = {R\"uland, Angkana},
title = {Unique {Continuation,} {Runge} {Approximation} and the {Fractional} {Calder\'on} {Problem}},
booktitle = {},
series = {Journ\'ees \'equations aux d\'eriv\'ees partielles},
note = {talk:8},
pages = {1--10},
publisher = {Groupement de recherche 2434 du CNRS},
year = {2018},
doi = {10.5802/jedp.668},
language = {en},
url = {http://www.numdam.org/articles/10.5802/jedp.668/}
}
TY - JOUR AU - Rüland, Angkana TI - Unique Continuation, Runge Approximation and the Fractional Calderón Problem JO - Journées équations aux dérivées partielles N1 - talk:8 PY - 2018 SP - 1 EP - 10 PB - Groupement de recherche 2434 du CNRS UR - http://www.numdam.org/articles/10.5802/jedp.668/ DO - 10.5802/jedp.668 LA - en ID - JEDP_2018____A8_0 ER -
%0 Journal Article %A Rüland, Angkana %T Unique Continuation, Runge Approximation and the Fractional Calderón Problem %J Journées équations aux dérivées partielles %Z talk:8 %D 2018 %P 1-10 %I Groupement de recherche 2434 du CNRS %U http://www.numdam.org/articles/10.5802/jedp.668/ %R 10.5802/jedp.668 %G en %F JEDP_2018____A8_0
Rüland, Angkana. Unique Continuation, Runge Approximation and the Fractional Calderón Problem. Journées équations aux dérivées partielles (2018), Exposé no. 8, 10 p. doi : 10.5802/jedp.668. http://www.numdam.org/articles/10.5802/jedp.668/
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