On the Collapse of Solutions of the Cauchy Problem for the Cubic Schrödinger Evolution Equation
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DOI: 10.1134/s0001434619010073
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… read more here.
Keywords: dinger evolution; schr dinger; cubic schr; problem cubic ... See more keywords
Blow-up of Solutions of the Cauchy Problem for a Nonlinear Schrödinger Evolution Equation
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DOI: 10.1134/s1064562418070165
Abstract: The solution of the Cauchy problem for a nonlinear Schrödinger evolution equation with certain initial data is proved to blow up in a finite time, which is estimated from above. Additionally, lower bounds for the… read more here.
Keywords: nonlinear schr; cauchy problem; dinger evolution; problem nonlinear ... See more keywords
Nonlocal solutions and controllability of Schrödinger evolution equation
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DOI: 10.24193/fpt-ro.2020.2.46
Abstract: The paper deals with semilinear evolution equations in complex Hilbert spaces. Nonlocal associated Cauchy problems are studied and the existence and uniqueness of classical solutions is proved. The controllability is investigated too and the topological… read more here.
Keywords: evolution; nonlocal solutions; dinger evolution; solutions controllability ... See more keywords