Analysis Seminar
Stability of solitary waves of the NLS equation
Zhiyuan Zhang, Courant Institute of Mathematical Sciences
Friday, November 4th, 2022
1:00 PM - 2:00 PM
Zoom ID 952 2647 2546
1:00 PM - 2:00 PM
Zoom ID 952 2647 2546
We consider the asymptotic stability of the solitary waves of 1D NLS equations, under the assumption that the linearized operator is generic (no endpoint resonance) and has no internal modes. Moreover, we also consider the 1D nonlinear Klein-Gordon equation with a potential, and give a result on small data existence. The method of analysis is based on the distorted Fourier transform. This is joint work with P. Germain and F. Pusateri.
Event contact: dan dot geba at rochester dot edu
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