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Measures on double or resonant eigenvalues for linear Schrödinger operator |
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| Authors: | Didier Bresch Benoît Desjardins Emmanuel Grenier |
| Institution: | a LAMA, UMR CNRS 5127, Université de Savoie, 73376 Le Bourget du Lac cedex, France b Modélisation Mesure et Applications S.A., 66 avenue des Champs Elysées, 75008 Paris, France c ENS Ulm, DMA, 45 rue d'Ulm, 75230 Paris cedex 05, France d U.M.P.A., École Normale Supérieure de Lyon, 46 allée d'Italie, 69364 Lyon Cedex 07, France |
| Abstract: | In this paper we consider linear Schrödinger operator with double or resonant eigenvalues. The main result is the bound of the measure (in a suitable space of functions) of the potentials leading to such double or resonant eigenvalues. Namely we present measure type estimates evaluating neighborhoods of the so-called double or resonant set. |
| Keywords: | Linear Schrö dinger operator Measure type estimates Multiple eigenvalues Resonant set |
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