Colloquium 2023 | Asymptotic simplification for nonlinear wave equations | Carlos Kenig (UChicago)

September 4, 2023
Institut d’Estudis Catalans (IEC)

ABSTRACT
In this lecture, I will describe the progress made in the last 15 years, in our understanding of the long-time behaviour of large solutions to the energy-critical focusing nonlinear wave equation. In the last part of the lecture, I will concentrate on progress (with Collot, Duyckaerts, Martel and Merle) on the asymptotic simplification for large time, into sums of modulated static solutions plus a linear term, in all dimensions, in the radial case.

INVITED SPEAKER
Carlos Kenig
University of Chicago
Louis Block Distinguished Service Professor

Carlos Eduardo Kenig is an Argentine-American mathematician and the Louis Block Distinguished Service Professor at the University of Chicago’s Department of Mathematics. His work in harmonic analysis and partial differential equations is well recognised.

Kenig earned his PhD in 1978 from the University of Chicago under the guidance of Alberto Calderón. He has worked at Princeton University and the University of Minnesota since then, until returning to the University of Chicago in 1985. He has a strong background in elliptic and dispersive partial differential equations. Since 2014, he has been a member of the National Academy of Sciences. Zhongwei Shen, Kin Ming Hui, Gigliola Staffilani, and Panagiota Daskalopoulos are among his students.