Monday 26 April 2021 at 16:00

Organised in collaboration with the School of Mathematics, University of Bristol, UK

Local Smoothing for the Wave Equation

Larry Guth, Massachusetts Institute of Technology, USA

The local smoothing problem asks about how much solutions to the wave equation can focus. It was formulated by Chris Sogge in the early 90s. Hong Wang, Ruixiang Zhang, and I recently proved the conjecture in two dimensions. In the talk, we will build up some intuition about waves to motivate the conjecture, and then discuss some of the obstacles and some ideas from the proof.

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