Dimensions of Solution Spaces of the Schrodinger Equation with Finite Dirichlet Integral on Non-compact Riemannian Manifolds
- 作者: Losev A.1, Filatov V.1
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隶属关系:
- Volgograd State University
- 期: 卷 40, 编号 9 (2019)
- 页面: 1363-1370
- 栏目: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/205518
- DOI: https://doi.org/10.1134/S1995080219090142
- ID: 205518
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详细
Exact estimations of dimensions of spaces of bounded solutions of stationary Schrodinger equation with finite Dirichlet integral in terms of massive sets are obtained. It is proved that dimension of spaces of bounded solutions of this equation is not less than number of disjoint qD-massive subsets of manifold. This paper partly extends, the results of A.A. Grigor’yan, A.G. Losev (2017).
作者简介
A. Losev
Volgograd State University
编辑信件的主要联系方式.
Email: alexander.losev@volsu.ru
俄罗斯联邦, Volgograd, 400062
V. Filatov
Volgograd State University
编辑信件的主要联系方式.
Email: filatov@volsu.ru
俄罗斯联邦, Volgograd, 400062