Generalized first boundary value problem for Schrödinger equation
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- by Yan Xia Ren PDF
- Proc. Amer. Math. Soc. 115 (1992), 1101-1109 Request permission
Abstract:
In this paper, we have obtained two main results by using probabilistic methods: (i) For a domain, we obtained a representation formula of the bounded solution to the first boundary value problem for Schrödinger equation; (ii) For $\alpha \in {R^1}$, under certain conditions, we proved that the bounded solution having limit $\alpha$ at infinity to the generalized first boundary value problem for Schrödinger equation exists and is unique, and it is represented in explicit formula. The results of this paper are generalizations of Chung and Rao.References
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Additional Information
- © Copyright 1992 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 115 (1992), 1101-1109
- MSC: Primary 60J45
- DOI: https://doi.org/10.1090/S0002-9939-1992-1092930-0
- MathSciNet review: 1092930