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Next seminar:
12/11/25 - Davide Barilari - 5:30 p. m.
12/11/25 - Davide Barilari - 5:30 p. m.
(Università degli Studi di Padova)
(Università degli Studi di Padova)
Strichartz Estimates for sub-Laplacians in Heisenberg and H-type groups
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Abstract. The Schrödinger equation on the Heisenberg group is an example of a totally non-dispersive evolution equation: for this reason the classical approach that permits to obtain Strichartz estimates from dispersive estimates is not available.
We obtain refined Strichartz estimates for the sub-Riemannian Schrödinger equation on Heisenberg and H-type Carnot groups reinterpreting Strichartz estimates as Fourier restriction theorems for noncommutative nilpotent groups. The same argument permits to obtain refined Strichartz estimates for the wave equation.
This series of seminars is addressed to an audience interested in Harmonic Analysis in the broadest possible sense. The seminars will not necessarily concern the latest research results; the speaker may also give a talk about open problems or a survey colloquium.
The conferences take place generally every two weeks on Wednesday at 5:30 p. m. (Rome time).
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Organizers:
Tommaso Bruno (Università di Genova)
Valentina Casarino (Università degli Studi di Padova)
Bianca Gariboldi (Università degli Studi di Bergamo)
Alessio Martini (Politecnico di Torino)
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