On a system of nonlinear Schrödinger equations with quadratic interaction and L 2-critical growth
Esfahani A.
1 January 2022World Scientific
International Journal of Mathematics
2022#33Issue 1
In this paper, we study the dynamical behavior of solutions of nonlinear Schrödinger equations with quadratic interaction and L2-critical growth. We give sharp conditions under which the existence of global and blow-up solutions are deduced. We also show the existence, stability, and blow-up behavior of normalized solutions of this system.
blow-up , critical mass , dynamical behavior , NLS system
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Department of Mathematics, Nazarbayev University, Nur-Sultan, 010000, Kazakhstan
Department of Mathematics
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