@article {64569,
	title = {Stabilization of the Fourth Order Schr{\"o}dinger Equation},
	journal = {New Trends in Analysis and Interdisciplinary ApplicationsNew Trends in Analysis and Interdisciplinary Applications},
	year = {2017},
	month = {2017},
	pages = {529-535},
	abstract = {We study both boundary and internal stabilization problems for the fourth order Schr{\"o}dinger equation in a smooth bounded domain\&nbsp;Ω\&nbsp;of\&nbsp;Rn.\&nbsp;We first consider the boundary stabilization problem. By introducing suitable dissipative boundary conditions, we prove that the solution decays exponentially in an appropriate energy space. In the internal stabilization problem, by assuming that the damping term is effective on the neighborhood of the boundary, we prove the exponential decay of the L2(Ω)-energy of the solution. Both results are established by using multipliers technique and compactness/uniqueness arguments.},
	author = {Aksas, Belkacem and Rebiai, Salah-Eddine}
}
