On wave operators for the multidimensional electromagnetic Schrödinger operator in divergent form
We prove the existence of wave operators for the multidimensional electromagnetic Schr¨odinger operator in divergent form by the Cook method. Moreover, under certain conditions on the coefficients of the given operator, we establish the isometry of its wave operators and determine the initial domain...
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| Datum: | 2016 |
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| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | Russisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
2016
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/1898 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
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Ukrains’kyi Matematychnyi Zhurnal| Zusammenfassung: | We prove the existence of wave operators for the multidimensional electromagnetic Schr¨odinger operator in divergent form
by the Cook method. Moreover, under certain conditions on the coefficients of the given operator, we establish the isometry
of its wave operators and determine the initial domains of these operators. |
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