Email this article On the Collapse of Solutions of the Cauchy Problem for the Cubic Schrödinger Evolution Equation
- Authors: Nasibov S.M.1
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Affiliations:
- Institute of Applied Mathematics
- Issue: Vol 105, No 1-2 (2019)
- Pages: 64-70
- Section: Article
- URL: https://journal-vniispk.ru/0001-4346/article/view/151506
- DOI: https://doi.org/10.1134/S0001434619010073
- ID: 151506
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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.
About the authors
Sh. M. Nasibov
Institute of Applied Mathematics
Author for correspondence.
Email: nasibov_sharif@hotmail.com
Azerbaijan, Baku State University, AZ 1148
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