학술논문

Global well-posedness and scattering of the defocusing energy-critical inhomogeneous nonlinear Schr\'{o}dinger equation with radial data
Document Type
Working Paper
Author
Source
Subject
Mathematics - Analysis of PDEs
35Q55 (Primary) 35P25, 35B40 (Secondary)
Language
Abstract
We consider the defocusing energy-critical inhomogeneous nonlinear Schr\"{o}dinger equation (INLS) $iu_t + \Delta u = |x|^{-b}|u|^{k}u$ in $\mathbb{R} \times \mathbb{R}^{n}$ where $n \geq 3$, $0Comment: 24 pages, no figures