Resolvent estimates for perturbations by large magnetic potentials

DOI10.1063/1.4863895zbMath1301.35061OpenAlexW2060128932MaRDI QIDQ5414790

Fernando Cardoso, Georgi Vodev, Claudio Cuevas

Publication date: 7 May 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4863895

zbMATH Keywords

electric potentialself-adjoint operatorresolvent estimatesmagnetic potential

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Estimates of eigenvalues in context of PDEs (35P15) Spectrum, resolvent (47A10)

Related Items (2)

Resolvent estimates for the magnetic Schrödinger operator in dimensions \(\ge 2\) ⋮ Semi‐classical resolvent estimates and regions free of resonances

Cites Work

• Carleman estimates and absence of embedded eigenvalues
• Uniform estimates of the resolvent of the Laplace-Beltrami operator on infinite volume Riemannian manifolds. II
• High frequency resolvent estimates for perturbations by large long-range magnetic potentials and applications to dispersive estimates
• Strichartz and smoothing estimates for Schrödinger operators with almost critical magnetic potentials in three and higher dimensions

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