Elsevier

Applied Mathematics Letters

Volume 71, September 2017, Pages 44-50
Applied Mathematics Letters

Solutions of the Dirichlet–Sch problem and asymptotic properties of solutions for the Schrödinger equation

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Abstract

Let a(X,y) be a nonnegative radical potential in a cylinder. In this paper, we study the solutions of the Dirichlet–Sch problem associated with a stationary Schrödinger operator. Existence of solutions for the Schrödinger equation and asymptotic properties as y+ and y are also considered under suitable conditions.

Keywords

Dirichlet–Sch problem
Schrödinger equation
Asymptotic property

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This work was supported by the National Natural Science Foundation of China (Grant Nos. U1304102, 11301140).