Asymptotic stability of soliton for discrete nonlinear Schrödinger equation on one-dimensional lattice

Date
2022/06/24 Fri 16:00 - 17:00
Speaker
Masafumi Yoneda
Affiliation
Graduate School of Science and Engineering, Chiba University
Abstract

In this talk we consider the discrete Schrödinger equation on 1D lattice. In particular, we prove the asymptotic stability of soliton near anti-continuous limit. We prove the theorem by using Strichartz estimate for discrete Laplacian with Dirichlet condition on the origin, which is almost like a free discrete Laplacian restricted on odd functions.

Note: This seminar will be held as a Zoom online seminar.