Small energy scattering for radial solutions to the generalized Zakharov system
Analysis of PDEs
2024-02-12 v3
Abstract
We prove the small energy scattering for the three-dimensional generalized Zakharov system with radial symmetry based on the idea by Guo and Nakanishi (2014), which treats the usual Zakharov system. For the proof, we use the frequency-localized normal form reduction, and the radially improved Strichartz estimates. The relation between the solution to the integral equations, which includes the unusual boundary terms, and the original differential equations is also considered.
Keywords
Cite
@article{arxiv.2401.09855,
title = {Small energy scattering for radial solutions to the generalized Zakharov system},
author = {Jun Kato and Osamu Tojo},
journal= {arXiv preprint arXiv:2401.09855},
year = {2024}
}