A1 Journal article (refereed)
Resolvent estimates for the magnetic Schrödinger operator in dimensions ≥2 (2020)
Meroño, C. J., Potenciano-Machado, L., & Salo, M. (2020). Resolvent estimates for the magnetic Schrödinger operator in dimensions ≥2. Revista Matemática Complutense, 33(2), 619-641. https://doi.org/10.1007/s13163-019-00316-z
JYU authors or editors
Publication details
All authors or editors: Meroño, Cristóbal J,; Potenciano-Machado, Leyter; Salo, Mikko
Journal or series: Revista Matemática Complutense
ISSN: 1139-1138
eISSN: 1988-2807
Publication year: 2020
Volume: 33
Issue number: 2
Pages range: 619-641
Publisher: Springer
Publication country: Spain
Publication language: English
DOI: https://doi.org/10.1007/s13163-019-00316-z
Publication open access:
Publication channel open access:
Publication is parallel published (JYX): https://jyx.jyu.fi/handle/123456789/65176
Web address of parallel published publication (pre-print): https://arxiv.org/abs/1904.00693
Abstract
It is well known that the resolvent of the free Schrödinger operator on weighted L2 spaces has norm decaying like λ−12 at energy λ . There are several works proving analogous high frequency estimates for magnetic Schrödinger operators, with large long or short range potentials, in dimensions n≥3 . We prove that the same estimates remain valid in all dimensions n≥2 .
Keywords: mathematics
Free keywords: resolvent estimates; Schrödinger equation; magnetic potentials; limiting absorption principle
Contributing organizations
Related projects
- Centre of Excellence in Inverse Problems Research
- Salo, Mikko
- Research Council of Finland
- Inverse boundary problems - toward a unified theory
- Salo, Mikko
- European Commission
- Inverse boundary problems: toward a unified theory
- Salo, Mikko
- Research Council of Finland
Ministry reporting: Yes
Reporting Year: 2020
JUFO rating: 1