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Existence of the global attractor for the plate equation with nonlocal nonlinearity in R^{n} (1503.09123v1)
Published 31 Mar 2015 in math.AP
Abstract: We consider Cauchy problem for the semilinear plate equation with nonlocal nonlinearity. Under mild conditions on the damping coefficient, we prove that the semigroup generated by this problem possesses a global attractor.