Dimensions of Solution Spaces of the Schrodinger Equation with Finite Dirichlet Integral on Non-compact Riemannian Manifolds
- Авторлар: Losev A.1, Filatov V.1
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Мекемелер:
- Volgograd State University
- Шығарылым: Том 40, № 9 (2019)
- Беттер: 1363-1370
- Бөлім: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/205518
- DOI: https://doi.org/10.1134/S1995080219090142
- ID: 205518
Дәйексөз келтіру
Аннотация
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).
Авторлар туралы
A. Losev
Volgograd State University
Хат алмасуға жауапты Автор.
Email: alexander.losev@volsu.ru
Ресей, Volgograd, 400062
V. Filatov
Volgograd State University
Хат алмасуға жауапты Автор.
Email: filatov@volsu.ru
Ресей, Volgograd, 400062