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Complex Variables and Elliptic Equations
An International Journal
Volume 62, 2017 - Issue 7
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Original Articles

Exponential decay of eigenfunctions of Schrödinger operators on infinite metric graphs

Setenay AkdumanMathematics Department, Dokuz Eylül University, Izmir, Turkey.
&
Alexander PankovMathematics Department, Morgan State University, Baltimore, MD, USA.Correspondence[email protected]
Pages 957-966 | Received 07 Oct 2016, Accepted 23 Oct 2016, Published online: 08 Nov 2016
 
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Abstract

This paper concerns Schrödinger operators on infinite metric graphs. We show that, under natural assumptions, eigenfunctions corresponding to isolated eigenvalues of finite multiplicity decay at infinity exponentially fast.

AMS Subject Classifications:

Notes

No potential conflict of interest was reported by the authors.

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