Resolvent estimates for the magnetic Schrödinger operator in dimensions ≥2
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
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Revista Matemática ComplutenseDate
2020Copyright
© Universidad Complutense de Madrid 2019
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 .
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SpringerISSN Search the Publication Forum
1139-1138Keywords
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https://rdcu.be/bMF6bPublication in research information system
https://converis.jyu.fi/converis/portal/detail/Publication/32174433
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Related funder(s)
European Commission; Academy of FinlandFunding program(s)
Centre of Excellence, AoF; Academy Project, AoF
The content of the publication reflects only the author’s view. The funder is not responsible for any use that may be made of the information it contains.
Additional information about funding
C.M. was supported by Spanish government predoctoral Grant BES-2015-074055 and projects MTM2014-57769-C3-1-P and MTM2017-85934-C3-3-P. L.P. and M.S. were supported by the Academy of Finland (Centre of Excellence in Inverse Modeling and Imaging, Grant Nos. 284715 and 309963) and by the European Research Council under Horizon 2020 (ERC CoG 770924)License
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