Abstract
We consider the nonlinear Schrödinger equation in three space dimensions with a focusing cubic nonlinearity and defocusing quintic nonlinearity and in the presence of an external inverse-square potential. We establish scattering in the region of the mass-energy plane where the virial functional is guaranteed to be positive. Our result parallels the scattering result of [11] in the setting of the standard cubic-quintic NLS.
Recommended Citation
A. H. Ardila and J. Murphy, "The Cubic-Quintic Nonlinear Schrödinger Equation with Inverse-Square Potential," Nonlinear Differential Equations and Applications, vol. 31, no. 5, article no. 93, Springer, Sep 2024.
The definitive version is available at https://doi.org/10.1007/s00030-024-00979-8
Department(s)
Mathematics and Statistics
Publication Status
Full / Open Access
Keywords and Phrases
35Q55; Cubic-quintic NLS; Inverse-square potential; Scattering; Soliton
International Standard Serial Number (ISSN)
1420-9004; 1021-9722
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2024 Springer, All rights reserved.
Publication Date
01 Sep 2024
Comments
Universidad del Valle, Grant None