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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| Дата: | 2015 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
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Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2015
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| Назва видання: | Журнал математической физики, анализа, геометрии |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/118151 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
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irk-123456789-1181512017-05-29T03:03:53Z Note on Lieb-Thirring Type Inequalities for a Complex Perturbation of Fractional Laplacian Dubuisson, C. 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 Borichev-Golinskii-Kupin [BGK09] and Hansmann [Han11] Для s > 0 пусть H0 = (-∆)s будет дробным лапласианом. В данной статье мы получаем неравенства типа Либа-Тирринга для дробного оператора Шредингера, который определяется как H = H0 + V, где V ∈ Lp(ℝd), p ≥ 1, d ≥ 1, - комплексный потенциал. Наши методы основываются на результатах работ Borichev-Golinskii-Kupin (Bull. Lond. Math. Soc. 41 (2009), No. 1, 117-123) и Hansmann (Lett. Math. Phys. 98 (2011), No. 1, 79-95). 2015 Article 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. 1812-9471 DOI: 10.15407/mag11.03.245 MSC2000: 35P15 (primary); 30C35, 47A75, 47B10 (secondary) http://dspace.nbuv.gov.ua/handle/123456789/118151 en Журнал математической физики, анализа, геометрии Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
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 Borichev-Golinskii-Kupin [BGK09] and Hansmann [Han11] |
| format |
Article |
| author |
Dubuisson, C. |
| spellingShingle |
Dubuisson, C. Note on Lieb-Thirring Type Inequalities for a Complex Perturbation of Fractional Laplacian Журнал математической физики, анализа, геометрии |
| author_facet |
Dubuisson, C. |
| author_sort |
Dubuisson, C. |
| title |
Note on Lieb-Thirring Type Inequalities for a Complex Perturbation of Fractional Laplacian |
| title_short |
Note on Lieb-Thirring Type Inequalities for a Complex Perturbation of Fractional Laplacian |
| title_full |
Note on Lieb-Thirring Type Inequalities for a Complex Perturbation of Fractional Laplacian |
| title_fullStr |
Note on Lieb-Thirring Type Inequalities for a Complex Perturbation of Fractional Laplacian |
| title_full_unstemmed |
Note on Lieb-Thirring Type Inequalities for a Complex Perturbation of Fractional Laplacian |
| title_sort |
note on lieb-thirring type inequalities for a complex perturbation of fractional laplacian |
| publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| publishDate |
2015 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/118151 |
| citation_txt |
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. |
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Журнал математической физики, анализа, геометрии |
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