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

Cuenin, Jean-Claude und Kenig, Carlos E. (2017): L-p resolvent estimates for magnetic Schrodinger operators with unbounded background fields. In: Communications in Partial Differential Equations, Bd. 42, Nr. 2: S. 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.

• Dokumententyp: Zeitschriftenartikel
• Fakultät: Mathematik, Informatik und Statistik > Mathematik
• Themengebiete: 500 Naturwissenschaften und Mathematik > 510 Mathematik
• ISSN: 0360-5302
• Sprache: Englisch