This article is cited in 5 papers

On the Collapse of Solutions of the Cauchy Problem for the Cubic Schrödinger Evolution Equation

Sh. M. Nasibov

Institute of Applied Mathematics, Baku State University

Abstract: It is proved that, for some initial data, the solutions of the Cauchy problem for the cubic Schrödinger evolution equation blow up in finite time whose exact value is estimated from above. In addition, lower bounds for the blow-up rate of the solution in certain norms are obtained.

Keywords: Schrödinger equation, Cauchy problem, interpolation inequality.

UDC: 517.946

Received: 18.02.2017
Revised: 14.11.2017

DOI: 10.4213/mzm11559

 English version: Mathematical Notes, 2019, 105:1, 64–70

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