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Mathematical Notes

, Volume 105, Issue 1–2, pp 64–70 | Cite as

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

  • Sh. M. NasibovEmail author
Article
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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 

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© Pleiades Publishing, Ltd. 2019

Authors and Affiliations

  1. 1.Institute of Applied MathematicsBaku State UniversityAzerbaijan

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