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Some recent results on PDEs with potentials and the stability of solitons and kinks

  • Speaker: Fabio Pusateri (University of Toronto)

  • Time: Mar 31, 2023, 21:30-22:30

  • Location: Zoom ID 966 1679 0292, Passcode 976956

Abstract
This talk will be an overview of some recent results on nonlinear evolutiorequations with large potentials, and applications to the stability of kinks, aswell as to the phenomenon of Radiation Damping. Our approach to thisclass of problems is based on the use of the distorted Fourier transform andthe development of multi-linear harmonic analysis in this setting. This talk isbased on joint works with P. Germain (lmperial College London), ZhiyuanZhang (New York University), A. Soffer (Rutgers University),T. LegerPrinceton University), Gong Chen (Georgia lnstitute of Technology) andAdilbek Kairzhan (University of Toronto).