Smoothing effect for the regularized Schr\"odinger equation with non controlled orbits

Georgi Vodev (LMJL); Lassaad Aloui (LAMSIN); Moez Khenissi

arxiv: 1201.3711 · v1 · pith:QS22BBL3new · submitted 2012-01-18 · 🧮 math.AP

Smoothing effect for the regularized Schr\"odinger equation with non controlled orbits

Lassaad Aloui (LAMSIN) , Moez Khenissi , Georgi Vodev (LMJL) This is my paper

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keywords effectequationodingerschrsmoothingconditioncontrolcontrolled

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We prove that the geometric control condition is not necessary to obtain the smoothing effect and the uniform stabilization for the strongly dissipative Schr\"odinger equation.

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Smoothing effect for the regularized Schr\"odinger equation with non controlled orbits

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