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SUMMARY:Jean-Philippe Anker (Université d’Orléans)
DTSTART:20220112T170000Z
DTEND:20220112T180000Z
DTSTAMP:20260423T021304Z
UID:HAeS/25
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HAeS/25/">Di
 spersive PDE on noncompact symmetric spaces</a>\nby Jean-Philippe Anker (U
 niversité d’Orléans) as part of Harmonic analysis e-seminars\n\n\nAbst
 ract\nWe consider the wave equation and the Schrödinger equation on gener
 al symmetric spaces of the noncompact type\, which is an interesting class
  of Riemannian manifolds with nonpositive curvature\, including all hyperb
 olic spaces. The standard strategy consists in establishing first pointwis
 e kernel estimates for the fundamental solutions\, in deducing next disper
 sive and Strichartz inequalities for the linear equations\, and in applyin
 g them finally to semilinearities. This program was successfully achieved 
 for various classes of manifolds over the past 40 years\, in particular fo
 r hyperbolic spaces 10-15 years ago. We were recently able to extend it to
  symmetric spaces of higher rank\, in collaboration with V. Pierfelice\, S
 . Meda\, M. Vallarino and H.-W. Zhang. In this talk\, we shall report on t
 hese progresses\, emphasizing on the tools used to tackle the higher rank 
 case.\n
LOCATION:https://researchseminars.org/talk/HAeS/25/
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