Magnetic Lieb–Thirring inequality for periodic functions
- Authors: Ilyin A.A.1, Laptev A.A.2
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Affiliations:
- Keldysh Institute of Applied Mathematics of Russian Academy of Sciences
- Imperial College London
- Issue: Vol 75, No 4 (2020)
- Pages: 207-208
- Section: Articles
- URL: https://journals.rcsi.science/0042-1316/article/view/133632
- DOI: https://doi.org/10.4213/rm9960
- ID: 133632
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Abstract
About the authors
Aleksei Andreevich Ilyin
Keldysh Institute of Applied Mathematics of Russian Academy of Sciences
Email: ailyin58@gmail.com
Doctor of physico-mathematical sciences, Senior Researcher
Ari Arievich Laptev
Imperial College London
Email: a.laptev@imperial.ac.uk
References
- E. H. Lieb, W. Thirring, Studies in mathematical physics. Essays in honor of Valentine Bargmann, Princeton Univ. Press, Princeton, NJ, 1976, 269–303
- А. В. Бабин, М. И. Вишик, Аттракторы эволюционных уравнений, Наука, M., 1989, 296 с.
- А. К. Савостьянов, С. В. Зелик, УМН, 75:2(452) (2020), 61–132
- J. Dolbeault, M. J. Esteban, A. Laptev, M. Loss, J. Math. Phys., 59:5 (2018), 051504, 10 pp.
- Ю. А. Кордюков, И. А. Тайманов, УМН, 74:2(446) (2019), 149–186
- R. L. Frank, D. Hundertmark, M. Jex, P. T. Nam, The Lieb–Thirring inequality revisited, 2018, 14 pp.
- A. Ilyin, A. Laptev, M. Loss, S. Zelik, Int. Math. Res. Not. IMRN, 2016:4 (2016), 1190–1222
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