Dynamics of solutions of a fractional NLS system with quadratic interaction
Esfahani A.
1 August 2021American Institute of Physics Inc.
Journal of Mathematical Physics
2021#62Issue 8
The purpose of this article is twofold. First, we study the existence and asymptotic behavior of ground states of a fractional Schrodinger system with quadratic interaction. Second, we give some conditions, in terms of the mass and energy of the ground states, under which the solutions of the associated initial value problem have the uniform bound or may blow up in finite time. As a corollary, we show the strong instability of the ground states.
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Department of Mathematics, Nazarbayev University, Nur-Sultan, 010000, Kazakhstan
Department of Mathematics
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