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SUMMARY:Resolvents and time decay estimates for dispersive equations on ma
nifolds
DTSTART:20240405T120000Z
DTEND:20240405T130000Z
DTSTAMP:20240914T030300Z
UID:indico-event-11803@indico.math.cnrs.fr
CONTACT:kellendonk@math.univ-lyon1.fr
DESCRIPTION:Speakers: Viviana Grasselli (Universite Lorraine)\n\nWe consid
er solutions of three models of dispersive equations: the Schrödinger\, w
ave and Klein-Gordon equations. We prove time decay estimates for the loca
l energy of these solutions on manifolds\, giving optimal rates of decay.
The properties of the evolution equations are derived by a spectral analys
is of the resolvent of the Schrödinger operator. To study the resolvent a
nd control its blowup when we get close to the spectrum we will apply Mour
re theory and we will point out the main difficulties of this approach in
the manifold case. \n\nhttps://indico.math.cnrs.fr/event/11803/
LOCATION:Fokko du Cloux (Bâtiment Braconnier)
URL:https://indico.math.cnrs.fr/event/11803/
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