| Autor: |
Markus Holzleitner, Aleksey Kostenko, Gerald Teschl |
| Jazyk: |
angličtina |
| Rok vydání: |
2016 |
| Předmět: |
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| Zdroj: |
Opuscula Mathematica, Vol 36, Iss 6, Pp 769-786 (2016) |
| Druh dokumentu: |
article |
| ISSN: |
1232-9274 |
| DOI: |
10.7494/OpMath.2016.36.6.769 |
| Popis: |
We investigate the dependence of the \(L^1\to L^{\infty}\) dispersive estimates for one-dimensional radial Schrödinger operators on boundary conditions at \(0\). In contrast to the case of additive perturbations, we show that the change of a boundary condition at zero results in the change of the dispersive decay estimates if the angular momentum is positive, \(l\in (0,1/2)\). However, for nonpositive angular momenta, \(l\in (-1/2,0]\), the standard \(O(|t|^{-1/2})\) decay remains true for all self-adjoint realizations. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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