一维基态线性化的非线性Schrödinger方程不存在嵌入谱
偏微分方程分析
2025-06-27 v2
摘要
我们考虑具有一般非线性的维度为一的非线性Schrödinger方程。我们证明基态在其线性化算子的本质谱中没有嵌入特征值。
引用
@article{arxiv.2503.02957,
title = {Absence of embedded spectrum for nonlinear Schr\"odinger equations linearized around one dimensional ground states},
author = {Charles Collot and Pierre Germain and Eliot Pacherie},
journal= {arXiv preprint arXiv:2503.02957},
year = {2025}
}
备注
6 pages, new version with misprints corrected