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Asymptotic decay estimates for the repulsive Schrödinger–Poisson system

✍ Scribed by Óscar Sánchez; Juan Soler

Publisher
John Wiley and Sons
Year
2004
Tongue
English
Weight
108 KB
Volume
27
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

In this paper the time decay rates for the solutions to the Schrödinger–Poisson system in the repulsive case are improved in the context of semiconductor theory. Upper and lower estimates are obtained by using a norm involving the potential energy and the dispersion equation. In the attractive case some examples, based on the Galilean invariance, are proposed showing that the solutions does not have a dispersive character. Copyright © 2004 John Wiley & Sons, Ltd.

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