Geodesic
Collapse rate of solutions of the~Cauchy problem for the~nonlinear Schr\"odinger equation
Teoretičeskaâ i matematičeskaâ fizika, Tome 203 (2020) no. 3, pp. 342-350

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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. 
@article{TMF_2020_203_3_a1,
     author = {Sh. M. Nasibov},
     title = {Collapse rate of solutions of {the~Cauchy} problem for the~nonlinear {Schr\"odinger} equation},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {342--350},
     publisher = {mathdoc},
     volume = {203},
     number = {3},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2020_203_3_a1/}
}
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Sh. M. Nasibov. Collapse rate of solutions of the~Cauchy problem for the~nonlinear Schr\"odinger equation. Teoretičeskaâ i matematičeskaâ fizika, Tome 203 (2020) no. 3, pp. 342-350. http://geodesic.mathdoc.fr/item/TMF_2020_203_3_a1/