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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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 60, No. 2, pp. 260–267, February, 2008.
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Stanzhyts’kyi, O.M., Horban’, N.V. Global attractor for the autonomous wave equation in ℝn with continuous nonlinearity. Ukr Math J 60, 299–309 (2008). https://doi.org/10.1007/s11253-008-0059-y
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DOI: https://doi.org/10.1007/s11253-008-0059-y