Normalized ground states and a mass-constrained scattering threshold for the inhomogeneous NLS with an inverse-square potential
Year: 2026
Type: preprint
Abstract: We study the focusing inhomogeneous nonlinear Schrödinger equation with an inverse-square potential $$ i\partial_t u+Δu-a|x|^{-2}u+|x|^{-b}|u|^αu=0, \qquad (t,x)\in\mathbb{R}\times\mathbb{R}^{N}, $$ in the mass-supercritical and energy-subcritical regime $$ \frac{4-2b}{N}<α<\frac{4-2b}{N-2}, $$ where $N\ge3$ and $0
Source: arXiv (Cornell University)
Authors: Majdoub, Mohamed, Saanouni, Tarek
Institutions: Imam Abdulrahman Bin Faisal University, Qassim University
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7220465220