Stability of kinks in one-dimensional Klein-Gordon equations

Date: 
Friday, November 6, 2020 - 3:00pm
Location: 
Zoom
Speaker: 
Pierre Germain

Abstract: Kinks are topological solitons, which appear in (nonlinear) one-dimensional Klein-Gordon equations, the Phi-4 and Sine-Gordon equations being the most well-known examples. I will present new results which give asymptotic stability for kinks, with an explicit decay rate, in some cases. The proof relies on the distorted Fourier transform associated to the linearized equation around the soliton; this method should be of interest for more general soliton stability problems. This is joint work with Fabio Pusateri.

Please access the talk through the Research Seminars page ( https://researchseminars.org/seminar/MO_Analysis ); you will need to register for a free account. If you have any difficulty, please contact Samuel Walsh (walshsa@missouri.edu).