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UID:20260829T163303EDT-1287WxvAl4@132.216.98.100
DTSTAMP:20260829T203303Z
DESCRIPTION:A Quantitative Vainberg Method for Black Box Scattering\n\nAbst
 ract: We give a quantitative version of Vainberg’s method relating pole fr
 ee regions to propagation of singularities for black box scatterers. In pa
 rticular\, we show that there is a logarithmic resonance free region near 
 the real axis of size t with polynomial bounds on the resolvent if and onl
 y if the wave propagator gains derivatives at rate t. Next we show that if
  there exist singularities in the wave trace at times tending to infinity 
 which smooth at rate t\, then there are resonances in logarithmic strips w
 hose width is given by t. As our main application of these results\, we gi
 ve sharp bounds on the size of resonance free regions in scattering on geo
 metrically nontrapping manifolds with conic points. Moreover\, these bound
 s are generically optimal on exteriors of nontrapping polygonal domains\n
DTSTART:20160916T173000Z
DTEND:20160916T183000Z
LOCATION:Room 920\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue 
 Sherbrooke Ouest
SUMMARY:Jeff Galkowski (CRM/McGill) 
URL:https://www.mcgill.ca/mathstat/channels/event/jeff-galkowski-crmmcgill-
 262668
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