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Publication details
Semiclassical Moser–Trudinger inequalities
Authors | |
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Year of publication | 2024 |
Type | Article in Periodical |
Magazine / Source | Transactions of the American Mathematical Society |
MU Faculty or unit | |
Citation | |
Web | 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 |
Keywords | Moser-Trudinger inequalities; semiclassical approximation; Schrödinger operators |
Description | 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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