Semi‐classical resolvent estimates and regions free of resonances |
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Authors: | Georgi Vodev |
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Institution: | Université de Nantes, Département de Mathématiques, UMR 6629 du CNRS, 2, rue de la Houssinière, , 44332 Nantes Cedex 03, France |
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Abstract: | We prove resolvent estimates for self‐adjoint operators of the form on , , where is a semi‐classical parameter and , , is a real‐valued potential. The potential is supposed to have very little regularity with respect to the radial variable, only. As a consequence, we obtain a region free of resonances in the case when V is of compact support. |
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Keywords: | Potential resolvent semi‐classical 35B37 35J15 47F05 |
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