Article ID Journal Published Year Pages File Type
4620173 Journal of Mathematical Analysis and Applications 2009 14 Pages PDF
Abstract

We prove some uniform in ϵ a priori estimates for solutions of the equation(∇−iA)2u−V(x)u+(λ±iϵ)u=f,λ⩾0,ϵ≠0. 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. Quantitative conditions on the size of the trapping component of the magnetic field and the non-repulsive component of the electric field are given.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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