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Existence of the global attractor for the plate equation with nonlocal nonlinearity in R^{n}
Azer Khanmamedov, Sema Simsek
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…
Global attractors for the plate equation with nonlocal nonlinearity in unbounded domains
Zehra Arat, Azer Khanmamedov, Sema Simsek
We consider the initial value problem for the semilinear plate equation with nonlocal nonlinearity. We prove the existence of global attractor and then establish the regularity and…
A unique continuation result for the plate equation and an application
Zehra Arat, Azer Khanmamedov, Sema Simsek
In this paper, we prove the unique continuation property for the weak solution of the plate equation with non-smooth coefficients. Then, we apply this result to study the global at…
Exponential decay of solutions for the plate equation with localized damping
Sema Simsek, Azer Khanmamedov
In this paper, we give positive answer to the open question raised in [E. Zuazua, Exponential decay for the semilinear wave equation with localized damping in unbounded domains. J.…