Resonances for non-analytic potentials

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dc.creatorMartinez, André
dc.creatorRamond, Thierry
dc.creatorSjoestrand, Johannes
dc.date2008-05-12
dc.date.accessioned2026-07-07T09:38:19Z
dc.date.available2026-07-07T09:38:19Z
dc.descriptionWe consider semiclassical Schroedinger operators on R^n, with C^\infty potentials decaying polynomially at infinity. The usual theories of resonances do not apply in such a non-analytic framework. Here, under some additional conditions, we show that resonances are invariantly defined up to any power of their imaginary part. The theory is based on resolvent estimates for families of approximating distorted operators with potentials that are holomorphic in narrow complex sectors around R^n.
dc.description33 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/0805.1596
dc.identifierhttp://arxiv.org/abs/0805.1596
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/160765
dc.subjectSpectral Theory
dc.subjectAnalysis of PDEs
dc.subject35B34, 47A10, 81Q20, 35A99
dc.titleResonances for non-analytic potentials
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