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On the Collapse of Solutions of the Cauchy Problem for the Cubic Schrödinger Evolution Equation.
- Source :
-
Mathematical Notes . Jan2019, Vol. 105 Issue 1/2, p64-70. 7p. - Publication Year :
- 2019
-
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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00014346
- Volume :
- 105
- Issue :
- 1/2
- Database :
- Academic Search Index
- Journal :
- Mathematical Notes
- Publication Type :
- Academic Journal
- Accession number :
- 135861285
- Full Text :
- https://doi.org/10.1134/S0001434619010073