In this paper, we investigate the $ W^{s, p} $-boundedness for stationary wave operators of
the Schrödinger operator with inverse-square potential\begin {equation*}\mathcal L_a …

We study the 2D-wave equation with a scaling-critical electromagnetic potential. This
problem is doubly critical, because of the scaling invariance of the model and the …

In this work we investigate the L p− L q-mapping properties of the resolvent associated with
the time-harmonic isotropic Maxwell operator. As spectral parameters close to the spectrum …

We prove that certain Sobolev-type norms, slightly stronger than those given by energy
conservation, stay bounded uniformly in time and N. This allows one to extend the local …

We establish magnetic improvements upon the classical Hardy inequality for two specific
choices of singular magnetic fields. First, we consider the Aharonov-Bohm field in all …

We study the uniform weighted resolvent estimates of Schrödinger operator with scaling-
critical electromagnetic potentials which, in particular, include the Aharonov-Bohm magnetic …

We study the-type uniform resolvent estimates for 2D-Schrödinger operators in scaling-
critical magnetic fields, involving the Aharonov–Bohm model as a main example. As an …

In this article, we consider the nonlinear Schr\" odinger equation on the cylinder $\mathbb
{R}^ d\times\mathbb {T} $. In the long range case, we show there is no linear scattering state …

In this manuscript, we investigate the dispersive properties of solutions to the Schrödinger
equation with a weakly decaying radial potential on cones. If the potential has sufficient …

In this paper, we combine the arguments of [L. Fanelli, J. Zhang and J. Zheng, Uniform
resolvent estimates for Schrödinger operators in critical magnetic fields, Int. Math. Res. Not …