Resonance Free Domains for Non Globally Analytic Potentials |
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Authors: | A. Martinez |
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Affiliation: | (1) Università di Bologna, Dipartimento di Matematica, Piazza di porta San Donato 5, 40127 Bologna, Italy |
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Abstract: | We study the resonances of the semiclassical Schr?dinger operator near a non-trapping energy level in the case when the potential V is not necessarily analytic on all of but only outside some compact set. Then we prove that for some and for any C > 0, P admits no resonance in the domain if V is , and if V is Gevrey with index s. Here does not depend on h and the results are uniform with respect to h > 0 small enough. Submitted 05/02/02, accepted 06/05/02 An erratum to this article is available at . |
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