Inverse scattering problems for the Hartree equation whose interaction potential decays rapidly

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• 作者：Hironobu  ; Sasaki¹ ;   ; ^{sasaki@math.s.chiba-u.ac.jp}
• 关键词：Schrö ; dinger equation ; Inverse scattering ; Interaction potential
• 刊名：Journal of Differential Equations
• 出版年：2012
• 出版时间：15 January 2012
• 年：2012
• 卷：252
• 期：2
• 页码：2004-2023
• 全文大小：240 K

文摘

We consider inverse scattering problems for the three-dimensional Hartree equation. We prove that if the unknown interaction potential of the equation satisfies some rapid decay condition, then we can uniquely determine the exact value of for any multi-index ¦Á by the knowledge of the scattering operator for the equation. Furthermore, we show some stability estimate for identifying .