2018
DOI: 10.3906/mat-1710-12
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Global attractors for the semilinear beam equation with localized viscosity

Abstract: In this paper, we deal with the semilinear beam equation with localized viscosity. Under mild conditions on the viscous coefficient, we establish the well-posedness and boundedness of the weak solutions. Then we prove that the semigroup generated by this problem has a smooth global attractor in H 3 (0, 1) × H 1 0 (0, 1) .

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