Matsaev's type theorems for solutions of the stationary Schrödinger equation and its applications

Lei  Qiao

doi:10.3934/dcds.2016050

Article Contents

2016, Volume 36, Issue 10: 5709-5720. Doi: 10.3934/dcds.2016050

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Matsaev's type theorems for solutions of the stationary Schrödinger equation and its applications

Lei Qiao^1,

1.
School of of Mathematics and Information Science, Henan University of Economics and Law, Zhengzhou 450046

Received: September 30, 2015

Revised: February 29, 2016

Published: May 2017

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Abstract

Our aim in this paper is to give lower estimates for solutions of the stationary Schrödinger equation in a cone, which generalize and supplement the result obtained by Matsaev's type theorems for harmonic functions in a half space. Meanwhile, some applications of this conclusion are also given.

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Mathematics Subject Classification: Primary: 35J05, 35J10; Secondary: 35C15.

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