L-p resolvent estimates for magnetic Schrodinger operators with unbounded background fields

Cuenin, Jean-Claude and Kenig, Carlos E. (2017): L-p resolvent estimates for magnetic Schrodinger operators with unbounded background fields. In: Communications in Partial Differential Equations, Vol. 42, No. 2: pp. 235-260

Abstract

We prove L-p and smoothing estimates for the resolvent of magnetic Schrodinger 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 Schrodinger and Pauli operators with complex electromagnetic potentials.

• Item Type: Journal article
• Faculties: Mathematics, Computer Science and Statistics > Mathematics
• Subjects: 500 Science > 510 Mathematics
• ISSN: 0360-5302
• Language: English