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math.AP2012★ 1 cited
The Kato Smoothing Effect for Regularized Schrödinger Equations in Exterior Domains
Lassaad Aloui, Moez Khenissi, Luc Robbiano
We prove, under the exterior geometric control condition, the Kato smoothing effect for solutions of an inhomogenous and damped Schrödinger equation on exterior domains.
math.AP2012
Smoothing effect for the regularized Schrödinger equation with non controlled orbits
Lassaad Aloui, Moez Khenissi, Georgi Vodev
We prove that the geometric control condition is not necessary to obtain the smoothing effect and the uniform stabilization for the strongly dissipative Schrödinger equation.