We prove some uniform in a priori estimates for solutions of the equation (∇ −i A)^2u − V (x)u +(λ± i)u = f, λ0, = 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.
Non-trapping magnetic fields and Morrey-Campanato estimates for Schrödinger operators / Fanelli, Luca. - In: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. - ISSN 0022-247X. - STAMPA. - 357:(2009), pp. 1-14. [10.1016/j.jmaa.2009.03.057]
Non-trapping magnetic fields and Morrey-Campanato estimates for Schrödinger operators
FANELLI, Luca
2009
Abstract
We prove some uniform in a priori estimates for solutions of the equation (∇ −i A)^2u − V (x)u +(λ± i)u = f, λ0, = 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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
