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Turkish Journal of Mathematics

Authors

SEMA YAYLA

DOI

10.3906/mat-1710-12

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}\left( 0,1\right) \times H_{0}^{1}\left( 0,1\right) $.

First Page

2588

Last Page

2606

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Mathematics Commons

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