ANALYSIS SEMINARS AT ICTP - Thursday 19 September, from 14:30 to 16:30

[ICTP Math Section]

A N A L Y S I S   S E M I N A R S

Thursday 19 September

Venue: Luigi Stasi Seminar Room (ICTP Leonardo da Vinci Building, first 
floor)


14:30 - 15:30
Speaker: Lucas Oliveira (UFRGS - Brazil)


Title: On the Strichartz inequalities for the Schroedinger equation


Abstract: In this talk we will discuss some mixed Lp estimates obtained 
by Robert Strichartz in 1977 for a large class of dispersive PDEs, 
restricting our attention to the special case of the Schroedinger 
equation. Starting with simple facts about the Fourier transform, we 
will show how Harmonic Analysis can be applied in order to obtain a 
complete proof of these estimates.

It is worth to mention that such estimates also have strong connections 
with the theory of restriction estimates for Fourier transform, and we 
could see the main result of this talk as the base for the companion 
talk of Mateus Sousa (about sharp restriction estimates for the Fourier 
transform).


15:30 - 16:30
Speaker: Mateus Sousa (LMU - Munich, Germany)


Title: On sharp Strichartz inequalities


Abstract: In this follow-up talk we will discuss a little bit about the 
concept of sharp inequalities with a focus on the particular case of 
Strichartz inequalities. We will discuss questions related to sharp 
constants, existence of extremizers and characterization of extremizers.


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Koutou Mabilo
ICTP Mathematics Group
Leonardo Da Vinci Building
Strada Costiera no. 11
34151 Trieste, Italy
Tel. no.: +39-040-2240455

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