# Wulf Staubach: Regularity of oscillatory integral operators arising in evolutionary PDEs

**Time: **
Fri 2021-06-18 13.15 - 14.15

**Location: **
Zoom, meeting ID: 688 8173 2330

**Lecturer: **
Wulf Staubach (Uppsala University)

### Abstract

We give a survey of oscillatory integral operators that arise naturally in connection to evolutionary partial differential equations, such as the Wave and Schrödinger equations. We also survey the regularity results for oscillatory integral operators, with the emphasis on those which imply continuous dependence on the initial data (for fixed time), for evolutionary PDEs in various function spaces.