On the Collapse of Solutions of the Cauchy Problem for the Cubic Schrödinger Evolution Equation
- Autores: Nasibov S.M.1
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Afiliações:
- Institute of Applied Mathematics
- Edição: Volume 105, Nº 1-2 (2019)
- Páginas: 64-70
- Seção: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/151506
- DOI: https://doi.org/10.1134/S0001434619010073
- ID: 151506
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Resumo
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.
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Sobre autores
Sh. Nasibov
Institute of Applied Mathematics
Autor responsável pela correspondência
Email: nasibov_sharif@hotmail.com
Azerbaijão, Baku State University, AZ 1148
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