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Applications of Microlocal Analysis in Inverse Problems

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 18 Jul 2020Embargo end date: 01 Jan 2019 Finland English Publisher:MDPI AGJournal:Mathematics, volume 8, page 1,184 (eissn: 2227-7390, Copyright policy )Funded by:AKA | Centre of Excellence of I..., EC | IPTheoryUnified, AKA | Inverse boundary problems...
Authors: Mikko Salo;

doi: 10.3390/math8071184 , 10.48550/arxiv.1908.03041

arXiv: 1908.03041

Applications of Microlocal Analysis in Inverse Problems

Abstract

This note reviews certain classical applications of microlocal analysis in inverse problems. The text is based on lecture notes for a postgraduate level minicourse on applications of microlocal analysis in inverse problems, given in Helsinki and Shanghai in June 2019.

Country
Finland
Related Organizations
Keywords

radon transform, inverse problems, calderón problem, Dirichlet-to-Neumann map, inversio-ongelmat, Gel’fand problem, Mathematics - Analysis of PDEs, microlocal analysis, QA1-939, FOS: Mathematics, Matematiikka, Mathematics, Analysis of PDEs (math.AP)

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    popularity
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    influence
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
Average
Average
Green
gold