Refinement of Strichartz estimate for Airy equation in non-diagonal case and its application
Analysis of PDEs
2017-04-28 v2
Abstract
In this paper, we give an improvement of the Strichartz estimate for Airy equation in the non-diagonal case. As an application, we prove the small data scattering and existence of a special non-scattering solutions, which are minimal in suitable sense, to the mass-subcritical generalized Korteweg-de Vries (gKdV) equation. Especially, we remove several technical restrictions on our previous work about the existence of a special non-scattering solution.
Keywords
Cite
@article{arxiv.1703.04892,
title = {Refinement of Strichartz estimate for Airy equation in non-diagonal case and its application},
author = {Satoshi Masaki and Jun-ichi Segata},
journal= {arXiv preprint arXiv:1703.04892},
year = {2017}
}