Special Session 23: Evolution Equations and Integrable Systems

Regularity of solution of periodic evolution equations
Beatrice Pelloni
Heriot-Watt University
Scotland
Co-Author(s):    Lyonell Boulton
Abstract:
I will discuss the regularity of solution of periodic evolution equations starting from an initial condition of low regularity. Specifically, I will present many more general instances of what was known as the Talbot effect, that is felt as an echo of the linear effect also in the solution on nonlinear problems.