Dimensions of Solution Spaces of the Schrodinger Equation with Finite Dirichlet Integral on Non-compact Riemannian Manifolds

被引：0
作者：
A. G. Losev
V. V. Filatov
机构：
[1] Volgograd State University,
来源：
Lobachevskii Journal of Mathematics | 2019年 / 40卷
关键词：
Riemannian manifolds; Dirichlet integral; elliptic equations; stationary Schrodinger equation; massive sets;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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).
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页码：1363 / 1370
页数：7
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