Non-trapping magnetic fields and Morrey-Campanato estimates for Schroedinger operators

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dc.creatorFanelli, Luca
dc.date2008-11-18
dc.date.accessioned2026-07-07T10:19:25Z
dc.date.available2026-07-07T10:19:25Z
dc.descriptionWe prove some uniform in $ε$ a priori estimates for solutions of the equation $$(\nabla-iA)^2u-V(x)u+(λ\pm iε)u=f, λ\geq0, ε\neq0.$$ The estimates are obtained in terms of Morrey-Campanato norms, and can be used to prove absence of zero-resonances, in a suitable sense, for electromagnetic Hamiltonians. Precise conditions on the size of the \textit{trapping component} of the magnetic field and the non repulsive component of the electric field are given.
dc.description18 pages
dc.identifierhttps://arxiv.org/abs/0811.3011
dc.identifierhttp://arxiv.org/abs/0811.3011
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/174502
dc.subjectAnalysis of PDEs
dc.subjectMathematical Physics
dc.subject35J10; 35L05; 58J45
dc.titleNon-trapping magnetic fields and Morrey-Campanato estimates for Schroedinger operators
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