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Semiclassical Moser–Trudinger inequalities
Autoři | |
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Rok publikování | 2024 |
Druh | Článek v odborném periodiku |
Časopis / Zdroj | Transactions of the American Mathematical Society |
Fakulta / Pracoviště MU | |
Citace | |
www | https://www.ams.org/journals/tran/2024-377-05/S0002-9947-2024-09146-8/home.html |
Doi | http://dx.doi.org/10.1090/tran/9146 |
Klíčová slova | Moser-Trudinger inequalities; semiclassical approximation; Schrödinger operators |
Popis | We extend the Moser–Trudinger inequality of one function to systems of orthogonal functions. Our results are asymptotically sharp when applied to the collective behavior of eigenfunctions of Schrödinger operators on bounded domains. |
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