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UID:20250312T203819EDT-9083mrZimK@132.216.98.100
DTSTAMP:20250313T003819Z
DESCRIPTION:Quantitative unique continuation and intensity of waves in the 
 shadow of an obstacle.\n\nThe question of global unique continuation is th
 e following: Does the observation of the wave intensity on a little subdom
 ain during a time interval (0\,T) determine the total energy of the wave? 
 In an analytic context\, this question was solved in 1949 by the well-know
  Holmgren-John theorem\; in the 'smooth case'\, it was finally tackled by 
 Tataru-Robbiano-Zuily-Hörmander in the nineties. After a review of these r
 esults\, we shall describe the quantitative unique continuation estimate a
 ssociated to the qualitative theorem of Tataru-Robbiano-Zuily-Hörmander\, 
 that is\, give the optimal logarithmic stability result. In turn\, this es
 timate yields the optimal a priori bound on the penetration of waves into 
 the shadow region\, as well as the cost of approximate controls for the wa
 ve equation. This is joint work with Camille Laurent.  \n
DTSTART:20161121T183000Z
DTEND:20161121T193000Z
LOCATION:Room 920\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue 
 Sherbrooke Ouest
SUMMARY:Matthieu Leautaud\, Paris & Montréal
URL:/mathstat/channels/event/matthieu-leautaud-paris-m
 ontreal-264237
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