分数阶Helmholtz方程的复值与实值解
偏微分方程分析
2023-10-11 v2 泛函分析
摘要
本文关注分数阶Helmholtz方程的极限吸收原理。通过建立分数阶Helmholtz算符预解式的有界性估计，我们得到(0.1)的非平凡Lq(Rn)复值解。通过构建对偶变分框架，我们也借助非消失原理得到了(0.1)的实值解。
引用
@article{arxiv.2309.13999,
title = {Complex and real valued solutions for fractoinal Helmholtz equation},
author = {Zifei Shen and Shuijin Zhang},
journal= {arXiv preprint arXiv:2309.13999},
year = {2023}
}
备注
21pages. arXiv admin note: text overlap with arXiv:1402.3003 by other authors