Session S22 - Deterministic and probabilistic aspects of nonlinear evolution equations

Thursday, July 22, 17:45 ~ 18:15 UTC-3

Nonlinear Matrix Schrödinger Equation with a potential on the half line.

Ivan Naumkin

National University of Mexico (UNAM), Mexico   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

In this talk, we consider the nonlinear matrix Schrödinger equation with an external potential on the half line. We prove the existence of linear scattering for this model. Our approach is based on the spectral theorem for the perturbed linear Schrödinger operator and a factorization technique. We present new methods that allow us to consider both generic and exceptional cases without any additional symmetries. 

Joint work with Ricardo Weder (UNAM, Mexico).

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