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

Authors

  • 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.

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Published

25.02.2008

Issue

Vol. 60 No. 2 (2008)

Section

Research articles

How to Cite

Horban’, N. V., and A. N. Stanzhitskii. “Global Attractor for the Autonomous Wave Equation in Rn 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.