Uniform decay for a plate equation partially dissipative

摘要

In this article we consider a plate made of by two types of materials: a part is conservative and the other dissipative. We show that the dissipation produced for the second part is strong enough to obtain the uniform decay of the energy. Moreover, we found that the rate of decay of the solutions depend on behavior of the dissipative term in a neighborhood of zero, that is, for a linear dissipation we obtain exponential decay while for a polynomial dissipation we obtain polynomial decay.