Phragmén-Lindelöf theorem for solutions of elliptic differential equations in a banach space

For a second-order elliptic differential equation considered on a semiaxis in a Banach space, we show that if the order of growth of its solution at infinity is not higher than the exponential order, then this solution tends exponentially to zero at infinity.

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Bibliographic Details
Date:2007
Main Authors: Gorbachuk, M. L., Горбачук, М. Л.
Format: Article
Language:Ukrainian
English
Published: Institute of Mathematics, NAS of Ukraine 2007
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/3336
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal