Article Contents
Article Contents

# Decay of solutions for a system of nonlinear Schrödinger equations in 2D

• We deal with a system of nonlinear Schrödinger equations with quadratic nonlinearities in two space dimensions. We prove $\mathbf{L}^{\infty }-$time decay estimates of small solutions. We also discuss existence and nonexistence of wave operators.
Mathematics Subject Classification: Primary: 35Q55; Secondary: 35B40.

 Citation:

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