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 …

The purpose of this work is to study the 3D focusing inhomogeneous nonlinear Schrödinger
equation iu t+ Δ u+| x|− b| u| 2 u= 0, where 0< b< 1/2. Let Q be the ground state solution of …

We consider the inhomogeneous nonlinear Schrödinger equation i u_t+ Δ u+| x|^-b| u|^ α u=
0,\quad x ∈ R^ N, iut+ Δ u+| x|-b| u| α u= 0, x∈ RN, where N ≥ 2 N≥ 2, 4-2b N< α< 4-2b N …

We study the nonlinear Schrödinger equation with an inverse-square potential in
dimensions 3≤ d≤ 6. We consider both focusing and defocusing nonlinearities in the mass …

Scattering for the non-radial energy-critical inhomogeneous NLS - ScienceDirect Skip to main
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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 …

Global dynamics below the standing waves for the focusing semilinear Schrödinger equation with
a repulsive Dirac delta potentia Page 1 ANALYSIS & PDE msp Volume 10 No. 2 2017 MASAHIRO …

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 …