On the blowing up of solutions to the Cauchy problem for nonlinear Schrödinger equations
- 1 September 1977
- journal article
- conference paper
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 18 (9) , 1794-1797
- https://doi.org/10.1063/1.523491
Abstract
Solutions to the Cauchy problem for the equation are considered. Conditions on φ and F are given so that, for solutions with nonpositive energy, the following obtains: There exists a finite time T, estimable from above, such that as It is also shown that other ‐norms of a solution (including blow up in finite time.
Keywords
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