Geodesic
Collapse rate of solutions of the Cauchy problem for the nonlinear Schrödinger equation
Teoretičeskaâ i matematičeskaâ fizika, Tome 203 (2020) no. 3, pp. 342-350 Cet article a éte moissonné depuis la source Math-Net.Ru

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We prove that solutions of the Cauchy problem for the nonlinear Schrödinger equation with certain initial data collapse in a finite time, whose exact value we estimate from above. We obtain an estimate from below for the solution collapse rate in certain norms.
Keywords: nonlinear Schrödinger evolution equation, Cauchy problem, collapse, collapse rate, interpolation inequality. 
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Sh. M. Nasibov. Collapse rate of solutions of the Cauchy problem for the nonlinear Schrödinger equation. Teoretičeskaâ i matematičeskaâ fizika, Tome 203 (2020) no. 3, pp. 342-350. http://geodesic.mathdoc.fr/item/TMF_2020_203_3_a1/

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