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This article is cited in 5 scientific papers (total 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.
Received: 18.02.2017 Revised: 14.11.2017
Citation:
Sh. M. Nasibov, “On the Collapse of Solutions of the Cauchy Problem for the Cubic Schrödinger Evolution Equation”, Mat. Zametki, 105:1 (2019), 76–83; Math. Notes, 105:1 (2019), 64–70
Linking options:
https://www.mathnet.ru/eng/mzm11559https://doi.org/10.4213/mzm11559 https://www.mathnet.ru/eng/mzm/v105/i1/p76
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Abstract page: | 321 | Full-text PDF : | 26 | References: | 42 | First page: | 22 |
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