Abstract
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.
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 203, No. 3, pp. 342–350, June, 2020.
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Nasibov, S.M. Collapse Rate of Solutions of the Cauchy Problem for the Nonlinear Schrödinger Equation. Theor Math Phys 203, 726–733 (2020). https://doi.org/10.1134/S0040577920060021
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DOI: https://doi.org/10.1134/S0040577920060021