广义KdV方程组的孤立波解与全局适定性
偏微分方程分析
2020-05-08 v2
摘要
本文考虑与一类广义Korteweg-de Vries方程耦合系统相关的初值问题。我们给出了Gagliardo-Nirenberg型不等式的最佳常数与能量空间中全局解存在性判据之间的关系。我们证明该常数与具有最小质量的孤立波解（即所谓基态解）的存在性问题直接相关。为保证基态解的存在性，我们采用变分方法。
引用
@article{arxiv.2002.09531,
title = {Solitary wave solutions and global well-posedness for a coupled system of gKdV equations},
author = {Andressa Gomes and Ademir Pastor},
journal= {arXiv preprint arXiv:2002.09531},
year = {2020}
}
备注
A new characterization and the instability of the ground states were added