On the strongly damped wave equation with nonlinear damping and source terms

Shengqi Yu, Southeast University, Nanjing, P. R. China

E. J. Qualitative Theory of Diff. Equ., No. 39. (2009), pp. 1-18.

Abstract: We consider a wave equation in a bounded domain with nonlinear dissipation and nonlinear source term. Characterizations with respect to qualitative properties of the solution: globality, boundedness, blow-up, convergence up to a subsequence towards the equilibria and exponential stability are given in this article.

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