This article is cited in 2 papers

Collapse rate of solutions of the Cauchy problem for the nonlinear Schrödinger equation

Sh. M. Nasibov

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

Abstract: We prove that solutions of the Cauchy problem for the nonlinear Schrödinger equation with certain initial data collapse in a finite time, whose exact value we estimate from above. We obtain an estimate from below for the solution collapse rate in certain norms.

Keywords: nonlinear Schrödinger evolution equation, Cauchy problem, collapse, collapse rate, interpolation inequality.

Received: 06.12.2019
Revised: 06.12.2019

DOI: 10.4213/tmf9859

 English version: Theoretical and Mathematical Physics, 2020, 203:3, 726–733

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