Asymptotic Stability of the Sine-Gordon Kinks under Perturbations in Weighted Sobolev Norms -

Asymptotic Stability of the Sine-Gordon Kinks under Perturbations in Weighted Sobolev Norms

发布时间：2023年10月09日浏览次数：1855 发布者: He Liu

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主讲人： Dongxiao Yu(UC Berkeley)

活动时间： 从 2023-10-16 15:00 到 16:00

场地： 北京国际数学研究中心，全斋全29教室

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).

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