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.