강연 : Junichi Segata (Kyushu University, Japan)

일시 : 2024년 12월 19일 화 15:00~17:00

장소 : 순수및응용수학연구소(자연대본관 309호)

제목 : Scattering problem for the generalized Korteweg-de Vries equation

초록 : In this talk, we study the scattering problem for the initial value problem of the generalized Korteweg-de Vries (gKdV) equation. The purpose of this talk is to achieve two primary goals. Firstly, we show small data scattering for (gKdV) in the weighted Sobolev space, ensuring the initial and the asymptotic states belong to the same class. Secondly, we introduce two equivalent characterizations of scattering in the weighted Sobolev space. In particular, this involves the so-called conditional scattering in the weighted Sobolev space. This talk is based on a joint work with Satoshi Masaki (Hokkaido University)