This article is cited in 4 papers

Absence of global solutions of a mixed problem for a Schrödinger-type nonlinear evolution equation

Sh. M. Nasibov

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

Abstract: We study the problem of the absence of global solutions of the first mixed problem for one nonlinear evolution equation of Schrödinger type. We prove that global solutions of the studied problem are absent for "sufficiently large" values of the initial data.

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

Received: 25.04.2017

DOI: 10.4213/tmf9390

 English version: Theoretical and Mathematical Physics, 2018, 195:2, 658–664

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