Global attractor for the autonomous wave equation in <i>R<sub>n </sub></i> with continuous nonlinearity

  • N. V. Horban’
  • A. N. Stanzhitskii

Abstract

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.
Published
25.02.2008
How to Cite
Horban’, N. V., and A. N. Stanzhitskii. “Global Attractor for the Autonomous Wave Equation in <i>R<sub>n </sub></i&gt; With Continuous Nonlinearity”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 60, no. 2, Feb. 2008, pp. 260–267, https://umj.imath.kiev.ua/index.php/umj/article/view/3154.
Issue
Vol 60 No 2 (2008)
Section
Research articles