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math.AP2023★ 1 cited
Dispersive decay estimates for the magnetic Schrödinger equations
Zhiwen Duan, Lei Wei
In this paper, we present a proof of dispersive decay for both linear and nonlinear magnetic Schrödinger equations. To achieve this, we introduce the fractional distorted Fourier t…
math.AP2023
Scattering for the fractional magnetic Schrodinger operators
Lei Wei, Zhiwen Duan
In this paper, we prove the existence of the scattering operator for the fractional magnetic Schrodinger operators. For this, we construct the fractional distorted Fourier transfor…