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arXiv · 1510.00066

$L^p$ resolvent estimates for magnetic Schrödinger operators with unbounded background fields

Jean-Claude Cuenin·Carlos Kenig
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Abstract

We prove $L^p$ and smoothing estimates for the resolvent of magnetic Schrödinger operators. We allow electromagnetic potentials that are small perturbations of a smooth, but possibly unbounded background potential. As an application, we prove an estimate on the location of eigenvalues of magnetic Schrödinger and Pauli operators with complex electromagnetic potentials.

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Jean-Claude Cuenin, Carlos Kenig. 2016-07-18. $L^p$ resolvent estimates for magnetic Schrödinger operators with unbounded background fields. https://arxiv.org/abs/1510.00066

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