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Next seminar:
Next seminar:
26/11/25 - Guenda Palmirotta - 5:30 p. m.
26/11/25 - Guenda Palmirotta - 5:30 p. m.
(Universität Paderborn)
(Universität Paderborn)
Fractional Schrödinger equation on hyperbolic spaces
Abstract. We introduce the Schrödinger equation with a fractional Laplacian on real hyperbolic spaces and their discrete analogues, homogeneous trees. While on real hyperbolic spaces, the Strichartz estimates for the fractional Laplacian exhibit a loss of derivatives (due to the Knapp phenomenon), in the setting of homogeneous trees, this loss vanishes due to the triviality of the estimates for small times. This is a joint work with Jean-Philippe Anker and Yannick Sire.
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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