Scattering Below the Ground State for the Intercritical Non-Radial Inhomogeneous NLS
Abstract
We consider the focusing inhomogeneous nonlinear Schrödinger equation i∂tu+Δu+|x|-b|u|αu=0 on R x RN,with N≥2, 0 < b < min {N/2, 2}, and (4-2b)/N < α < (4-2b)/(N-2). These constraints make the equation mass-supercritical and energy-subcritical. We extend the results of Farah and Guzmán (2020) and Miao et al. (2019) and prove scattering below the ground state with general initial data.
Recommended Citation
M. Cardoso et al., "Scattering Below the Ground State for the Intercritical Non-Radial Inhomogeneous NLS," Nonlinear Analysis: Real World Applications, vol. 68, article no. 103687, Elsevier, Dec 2022.
The definitive version is available at https://doi.org/10.1016/j.nonrwa.2022.103687
Department(s)
Mathematics and Statistics
Keywords and Phrases
Inhomogeneous NLS; Intercritical; Non-Radial Data; Scattering
International Standard Serial Number (ISSN)
1468-1218
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2022 Elsevier, All rights reserved.
Publication Date
01 Dec 2022
