On wave operators for Schrödinger operators with threshold singuralities in three dimensions
| dc.contributor.area | Mathematics | en_US |
| dc.contributor.author | Yajima, Kenji | |
| dc.date.accessioned | 2016-06-17T06:49:55Z | |
| dc.date.available | 2016-06-17T06:49:55Z | |
| dc.date.issued | 2016-06 | |
| dc.description.abstract | We show that wave operators for three dimensional Schr\"odinger operators H=−Δ+V with threshold singularities are bounded in L1(R3) if and only if zero energy resonances are absent from H and the existence of zero energy eigenfunctions does not destroy the L1-boundedness of wave operators for H with the regular threshold behavior. We also show in this case that they are bounded in Lp(R3) for all 1≤p≤∞ if all zero energy eigenfunctions ϕ(x) have vanishing first three moments: ∫R3xαV(x)ϕ(x)dx=0, |α|=0,1,2. | en_US |
| dc.identifier.uri | https://openscience.sissa.it/handle/1963/35196 | |
| dc.language.iso | en | en_US |
| dc.publisher | SISSA | en_US |
| dc.relation.ispartofseries | SISSA;33/2016/MATE | |
| dc.relation.ispartofseries | arXiv;1606.03575 | |
| dc.subject.miur | MAT/07 | en_US |
| dc.title | On wave operators for Schrödinger operators with threshold singuralities in three dimensions | en_US |
| dc.type | Preprint | en_US |