We prove that the geometric control condition is not necessary to obtain the smoothing effect and the uniform stabilization for the strongly dissipative Schrodinger equation.
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Shandong Normal Univ, Sch Math & Stat, Jinan 250038, Shandong, Peoples R ChinaShandong Normal Univ, Sch Math & Stat, Jinan 250038, Shandong, Peoples R China
Li, Hongwei
Zhao, Xin
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Shandong Normal Univ, Sch Math & Stat, Jinan 250038, Shandong, Peoples R ChinaShandong Normal Univ, Sch Math & Stat, Jinan 250038, Shandong, Peoples R China
Zhao, Xin
Hu, Yunxia
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Shandong Normal Univ, Sch Math & Stat, Jinan 250038, Shandong, Peoples R ChinaShandong Normal Univ, Sch Math & Stat, Jinan 250038, Shandong, Peoples R China