School of Mathematical & Statistical Sciences Faculty Publications and Presentations
Document Type
Article
Publication Date
8-15-2024
Abstract
In this paper, we are concerned with traveling wave phenomena of the inhomogeneous half-wave equation, which models the energy of a spin zero particle in the Coulomb field. We study the Gagliardo-Nirenberg and critical Hardy-Sobolev inequalities with velocity 0 < | v | < 1 and obtain the estimates for the best constants and optimizers of inequalities. Moreover, we establish the non-scattering results with small traveling wave for energy subcritical and critical cases.
Recommended Citation
Feng, Zhaosheng, and Yu Su. "Traveling wave phenomena of inhomogeneous half-wave equation." Journal of Differential Equations 400 (2024): 248-277. https://doi.org/10.1016/j.jde.2024.04.029
Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-No Derivative Works 4.0 International License.
Publication Title
Journal of Differential Equations
DOI
10.1016/j.jde.2024.04.029
