Asymptotic Stability of the Sine-Gordon Kinks under Perturbations in Weighted Sobolev Norms
Time: 2023-10-09
Published By: He Liu
Speaker(s): Dongxiao Yu(UC Berkeley)
Time: 15:00-16:00 October 16, 2023
Venue: Room 29, Quan Zhai, BICMR
I will present a joint work with Herbert Koch on the asymptotic stability of the sine-Gordon kinks under small perturbations in weighted Sobolev norms. Our main tool is the Bäcklund transform which reduces the study of the asymptotic stability of the kinks to the study of the asymptotic decay of solutions near zero. I will also compare our work with some previous work on the asymptotic stability of the sine-Gordon kinks, such as Alejo-Muñoz-Palacios (arXiv:2003.09358), Chen-Liu-Lu (arXiv:2009.04260), and Lührmann-Schlag (arXiv:2106.09605).
