Note on Lieb-Thirring Type Inequalities for a Complex Perturbation of Fractional Laplacian
For s > 0, let H0 = (-∆)s be the fractional Laplacian. In this paper, we obtain Lieb-Thirring type inequalities for the fractional Schrödinger operator defined as H = H0 + V , where V ∈ Lp(ℝd), p ≥ 1, d ≥ 1, is a complex-valued potential. Our methods are based on the results of articles by Borich...
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| Date: | 2015 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2015
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| Series: | Журнал математической физики, анализа, геометрии |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/118151 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Note on Lieb-Thirring Type Inequalities for a Complex Perturbation of Fractional Laplacian / C. Dubuisson // Журнал математической физики, анализа, геометрии. — 2015. — Т. 11, № 3. — С. 245-266. — Бібліогр.: 19 назв. — англ. |