Dispersive decay for the magnetic Schr?dinger equation

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• 作者：A.I. Komech^a ; ^b ; ¹ ; ^{alexander.komech@univie.ac.at} ; E.A. Kopylova^a ; ^b ; ² ; ^{elena.kopylova@univie.ac.at}
• 关键词：Long-time decay ; Weighted norms ; Magnetic Schrö ; dinger equation ; High energy decay of resolvent
• 刊名：Journal of Functional Analysis
• 出版年：2013
• 出版时间：1 February, 2013
• 年：2013
• 卷：264
• 期：3
• 页码：735-751
• 全文大小：215 K

文摘

We obtain a dispersive long-time decay in weighted norms for solutions of 3D Schr?dinger equation with generic magnetic and scalar potentials. The decay extends the results obtained by Jensen and Kato for the Schr?dinger equation without magnetic potentials. For the proof we develop the spectral theory of Agmon, Jensen and Kato, extending the high energy decay of the resolvent to the magnetic Schr?dinger equation. Our methods allows us extend the result to all dimension .