Resolvent estimates for the magnetic Schrödinger operator in dimensions ≥2
Finna-arvio
Resolvent estimates for the magnetic Schrödinger operator in dimensions ≥2
resolvent_estimates_complutense_2.pdf
(Jyväskylän yliopisto - JYX)
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 .
Tallennettuna:
Kieli |
englanti |
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Sarja | Revista Matemática Complutense, 2 |
Aiheet | |
ISSN |
1139-1138 |