SEMINARI DI ANALISI MATEMATICA
- Microlocal and phase space analysis in Shubin's classes
- 27.03.2017 15.30 h
- Palazzo Campana - Torino
- Aula C
- Dott. René M. Schulz
- Institut für Analysis, Gottfried Wilhelm Leibniz Universität Hannover
- S. Coriasco
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.
- Palazzo Campana - Sito web
- Via Carlo Alberto, 10
Dipartimento di Matematica, Università degli Studi di Torino