分数阶微分算子的谱性质
泛函分析
2019-05-14 v2 谱理论
摘要
我们考虑了各种意义下的分数阶微分算子，并证明了严格增生性质是分数阶微分算子的共同性质。我们还证明了对于末项带有分数阶导数的二阶微分算子，扇形性质成立；我们探索了谱和预解集的位置，并表明谱是离散的。我们证明了对于末项带有分数阶导数的二阶算子的实分量，其特征值存在双边估计。
引用
@article{arxiv.1708.05964,
title = {Spectral properties of fractional differentiation operators},
author = {M. V. Kukushkin},
journal= {arXiv preprint arXiv:1708.05964},
year = {2019}
}
备注
The research results were discussed and presented at the 8th International Conference on Differential and Functional Differential Equations. Moscow, Russia, August 13-20, 2017