On solvability of boundary value problems for solutions of the stationary Shrodinger equation on unbounded domains of Riemannian manifolds
Наименование публикации | On solvability of boundary value problems for solutions of the stationary Shrodinger equation on unbounded domains of Riemannian manifolds |
Тип публикации | Статья |
Библиографическое описание | On solvability of boundary value problems for solutions of the stationary Shrodinger equation on unbounded domains of Riemannian manifolds / Korolkova E., Korolkov S., Svetlov A. // International Journal of Pure and Applied Mathematics. V. 97. N. 2. 2014. P. 231-240. |
Аннотация | In this paper we study the solutions of the stationary Schr¨odinger equation on unbounded domains of Riemannian manifolds with noncompact boundary. For the proper formulation of the boundary value problems we use an approach based on the introduction of equivalent functions class. We obtain sufficient conditions for solvability of some boundary value problems on such manifolds |
Ключевые cлова | boundary value problem, L-harmonic function, Riemannian manifold, Dirichlet problem, model manifold |
Год публикации | 2014 |
Автор(ы) |
Корольков Сергей Алексеевич
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Электронная копия публикации | Загрузить |