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Analysis and Applied Mathematics Seminar
University of Chicago
Global well-posedness and scattering in nonlinear wave equations
Abstract: In this talk we will consider the wave equation in odd space dimensions with energy-supercritical nonlinearity, in the radial setting. We will review the concentration compactness and rigidity arguments starting from the earlier work by Kenig-Merle and Duyckaerts-Kenig-Merle in the energy-critical and energy-supercritical cases, and outline the key ideas behind the proof of global well-posedness and scattering results in dimensions three, five, and seven.
Monday April 11, 2022 at 4:00 PM in 636 SEO