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DTSTART:20190331T030000
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DTSTART:20181028T020000
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DTSTAMP:20190321T153657Z
UID:5bc454b1e9107324575817@ist.ac.at
DTSTART:20181212T144500
DTEND:20181212T154500
DESCRIPTION:Speaker: Angkana Rüland\nhosted by Jan Maas\nAbstract: In this
talk I discuss a nonlocal inverse problem\, the fractional Calderón prob
lem. This is an inverse problem for a fractional Schrdinger equation in wh
ich one seeks to recover information on an unknown potential by exterior m
easurements. In the talk\, I prove uniqueness and stability of the "infini
te data problem"and then address the recovery question. This also yields (
at firstsight) surprising insights on the uniqueness properties of the inv
erse problem in that it turns out that a single measurement suffices to un
iquely recover the potential.These properties are based on the very strong
unique continuation and approximation properties of fractional Schrdinger
operators\, which are of independent interest and which I also discuss in
the talk.This is based on joint work with T. Ghosh\, M. Salo and G. Uhlma
nn.
LOCATION:Big Seminar room Ground floor / Office Bldg West (I21.EG.101)\, IS
T Austria
ORGANIZER:msoronda@ist.ac.at
SUMMARY:PDE Afternoon: Uniqueness\, stability and single measurement recove
ry for the fractional Calderón problem
URL:https://talks-calendar.app.ist.ac.at/events/1557
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