On the absence of global periodic solutions of a Schrödinger-type nonlinear evolution equation

Sh. M. Nasibov

Institute of Applied Mathematics, Baku State University, Baku, Azerbaidjan

Abstract: We study the problem of the absence of global periodic solutions of a nonlinear Schrödinger-type evolution equation with a damped linear term. We prove that in the case where the damping factor is negative, the problem has no global periodic solutions for any initial data, and in the case of a negative damping factor, this is also true for large enough values of the initial data.

Keywords: nonlinear evolution equation, Schrödinger equation, periodic solution, global solution, absence of periodic global solutions.

Received: 13.02.2021
Revised: 13.02.2021

DOI: 10.4213/tmf10077

 English version: Theoretical and Mathematical Physics, 2021, 208:1, 912–915

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