Stampa

SEMINARI DI ANALISI MATEMATICA

Evento 

Titolo:
Microlocal and phase space analysis in Shubin's classes
Quando:
27.03.2017 15.30 h
Dove:
Palazzo Campana - Torino
Aula:
Aula C
Relatore:
Dott. René M. Schulz
Afferenza:
Institut für Analysis, Gottfried Wilhelm Leibniz Universität Hannover
Proponente:
S. Coriasco
Locandina:
Locandina

Descrizione

From pseudodifferential operators to Lagrangian distributions

 
I will give a talk on a joint project with Marco Cappiello (Turin University) and Patrik Wahlberg (Växjö University), in which we study the microlocal properties of distributions in the framework of the Shubin pseudodifferential calculus. In particular, we review the theory of pseudodifferential and Fourier integral operators in this setting and provide an adapted notion of conormal and Lagrangian distributions. One of our main tools is to employ an integral transform of FBI-type and therefore our theory may be viewed as a phase space analysis of Shubin-type Lagrangian distributions. It turns out that the use of these techniques simply the proofs of theorems that are very hard to obtain by classical methods. As an application, we apply our methods to prove a geometric propagation result for singularities of Schrödinger equations.

The talk is designed for a non-specialized audience and will feature an extensive introduction.

Sede

Mappa
Sede:
Palazzo Campana   -   Sito web
Via:
Via Carlo Alberto, 10
Cap:
10123
Città:
Torino
Provincia:
To
Paese:
Paese: it

Descrizione

Dipartimento di Matematica, Università degli Studi di Torino