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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… Click to show full abstract
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.
Keywords:
system quadratic;
quadratic interaction;
ground states;
dynamics solutions
Journal Title: Journal of Mathematical Physics
Year Published: 2021
Link to full text (if available)
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Journal Title: Journal of Mathematical Physics
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!