Global well-posedness and existence of global attractor for a semi-discrete wave equation with a nonlinear dissipation

J. C. Oliveira, J. M. Pereira, G. Perla Menzala
In this paper, we prove the global well-posedness for a nonlinear laticce with nonlinear dissipative effects subjected to cyclic boundary conditions. We also prove the existence of an absorbing set as well as the existence of a global attractor.
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