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Dispersive decay for the Nonlinear magnetic Schrödinger equation
In this paper, we obtain the dispersive estimates and global well-posedness of the nonlinear magnetic Schrödinger equation in $\mathbb{R}^{3}$ with nonlinearity $|u|^{p-1}u$ with exponent $\frac{5}{3}< p<5$ when the initial value stays in a suitable space $Σ_{s}$. By proving the resolvent estimates
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