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.
English version (Springer): Ukrainian Mathematical Journal 60 (2008), no. 2, pp 299-309.
Citation Example: Horban’ N. V., Stanzhitskii A. N. Global attractor for the autonomous wave equation in Rn with continuous nonlinearity // Ukr. Mat. Zh. - 2008. - 60, № 2. - pp. 260–267.