We study the L^ p L p-theory for the Schrödinger operator\mathcal L_a L a with inverse-
square potential a| x|^-2 a| x|-2. Our main result describes when L^ p L p-based Sobolev …

We consider the focusing cubic nonlinear Schrödinger equation with inverse-square
potential in three space dimensions. We identify a sharp threshold between scattering and …

We study the nonlinear Schrödinger equation with an inverse-square potential in
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arxiv:1912.01318v1 [math.AP] 3 Dec 2019 Page 1 arxiv:1912.01318v1 [math.AP] 3 Dec 2019
SCATTERING FOR THE NON-RADIAL INHOMOGENEOUS NLS CHANGXING MIAO, JASON …

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 consider the focusing inhomogeneous nonlinear Schrödinger equation i∂ t u+ Δ u+| x|−
b| u| α u= 0 on R× RN, with N≥ 2, 0< b< min {N 2, 2}, and 4− 2 b N< α< 4− 2 b N− 2. These …

In this paper, we utilize Dodson-Murphy's method to establish the radial scattering result for
the focusing nonlinear Schrödinger equation with inverse square potential i∂ tu− L au=−| u …

This paper deals with global dispersive properties of Schrödinger equations with real-valued
potentials exhibiting critical singularities, where our class of potentials is more general than …

In this paper we discuss quantitative (pointwise) decay estimates for solutions to the 3D
cubic defocusing nonlinear Schrödinger equation with various (deterministic and random) …