Spectral problem for Sturm – Liouville operator with retarded argument which contains a spectral parameter in boundary condition
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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| Дата: | 2016 |
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| Автори: | , , , , , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
2016
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/1905 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| Резюме: | 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. |
|---|