Global attractor for the autonomous wave equation in Rn with continuous nonlinearity

We investigate the dynamics of solutions of an autonomous wave equation in ℝn with continuous nonlinearity. A priori estimates are obtained. We substantiate the existence of an invariant global attractor for an m-semiflow.

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Bibliographic Details
Date:2008
Main Authors: Horban’, N. V., Stanzhitskii, A. N., Горбань, Н. В., Станжицький, О. М.
Format: Article
Language:Ukrainian
English
Published: Institute of Mathematics, NAS of Ukraine 2008
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/3154
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal