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math.AP2024
Dispersive estimates of fourth order Schrödinger operators with scaling-critical magnetic potentials in dimension two
Haoran Wang
Dispersive estimate for the fourth order Schrödinger operator with a class of scaling-critical magnetic potentials in dimension two was obtained by the construction of the correspo…
math.AP2023
Improved time-decay for a class of many-magnetic Schrödinger flows
Haoran Wang
Consider the doubled magnetic Schrödinger operator \begin{equation*} H_{α,B_0}=\left(i\nabla-\left(\frac{B_0|x|}{2}+\fracα{|x|}\right)\left(-\frac{x_2}{|x|},\frac{x_1}{|x|}\right)\…