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SUMMARY:Matthias Eller (Georgetown University)
DTSTART:20220505T160000Z
DTEND:20220505T170000Z
DTSTAMP:20260423T035714Z
UID:Inverse/89
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Inverse/89/"
 >Hyperbolic boundary problems\, Carleman estimates\, and the Kreiss-Sakamo
 to-Tataru condition</a>\nby Matthias Eller (Georgetown University) as part
  of International Zoom Inverse Problems Seminar\, UC Irvine\n\n\nAbstract\
 nA review of the theory of hyperbolic initial-boundary value problems is p
 resented. Since the 1970s there are two competing theories\, one for symme
 tric hyperbolic systems mainly due to Friedrichs and one for strictly hype
 rbolic systems due to Kreiss and Sakamoto. The relationship of these two t
 heories has been clarified only during the last decade. A central part of 
 both theories is played by a priori estimates. Carleman estimates share so
 me similarities with hyperbolic a priori estimates. Initially establish fo
 r functions with compact support and as a tool for proving unique continua
 tion for operators with non-analytic coefficients\, they have found applic
 ations in Inverse Problems and Control Theory. Boundary data were included
  in Carleman estimates by Lebeau\, Robbiano\, and Tataru established a con
 dition similar to the one used by Kreiss and Sakamoto for hyperbolic probl
 ems. The case of scalar second-order operators will be discussed.\n
LOCATION:https://researchseminars.org/talk/Inverse/89/
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