Global estimates for the Schrödinger equation (Q1193915)
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scientific article; zbMATH DE number 65346
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Global estimates for the Schrödinger equation |
scientific article; zbMATH DE number 65346 |
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Global estimates for the Schrödinger equation (English)
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27 September 1992
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A solution of the time dependent Schrödinger equation with electric potential is considered. For energies in the absolutely continuous spectrum a regularity and decay inequality is shown. This generalizes the smoothing behaviour of the free problem [\textit{T. Kato}, \textit{K. Yajima}, Rev. Math. Phys. 1, No. 4, 481-496 (1989); \textit{M. Ben-Artzi} and \textit{S. Klainerman}, J. Anal. Math. (to appear)].
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time dependent Schrödinger equation
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regularity
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decay inequality
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smoothing behaviour
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