6533b7d5fe1ef96bd1264ab6
RESEARCH PRODUCT
Resolvent estimates for the magnetic Schrödinger operator in dimensions ≥2
Cristóbal J MeroñoLeyter Potenciano-machadoMikko Salosubject
Schrödingerin yhtälömatematiikkaresolvent estimatesSchrödinger equationlimiting absorption principlemagnetic potentialsdescription
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 . peerReviewed
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2020-01-01 |