Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4620173 | Journal of Mathematical Analysis and Applications | 2009 | 14 Pages |
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
Authors
Luca Fanelli,