Funkcialaj Ekvacioj
Print ISSN : 0532-8721
Characterization of the Ranges of Wave Operators for Schrödinger Equations via Wave Packet Transform
Taisuke YoneyamaKeiichi Kato
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2020 年 63 巻 1 号 p. 19-37

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In this paper, we give a characterization of the ranges of the wave operators for Schrödinger equations with time-dependent "short-range" potentials by using wave packet transform, which is different from the one in H. Kitada-K. Yajima [10]. We also give an alternative proof of the existence of the wave operators for time-dependent potentials, which has been first proved by D. R. Yafaev [15].

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© 2020 by the Division of Functional Equations, The Mathematical Society of Japan
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