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Notes on Lieb-Thirring type inequality for a complex perturbation of fractional Schrödinger operator.
hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
dc.contributor.author | DUBUISSON, Clément | |
dc.date.created | 2015-02 | |
dc.description.abstractEn | For $s>0$, let $H_0=(-\Delta)^s$ be the fractional Laplacian. In this paper, we obtainLieb-Thirring type inequalities for the fractional Schr\"odinger operator defined as $H=H_0+V$,where $V \in L^p(\mathbb{R}^d), p\ge 1, d\ge 1,$ is a complex-valued potential.Our methods are based on results of articles by Borichev-Golinskii-Kupin \cite{BoGoKu} and Hansmann \cite{Ha1}. | |
dc.language.iso | en | |
dc.subject.en | Fractional Schrödinger operator | |
dc.subject.en | complex perturbation | |
dc.subject.en | discrete spectrum | |
dc.subject.en | Lieb-Thirring type inequality | |
dc.subject.en | conformal mapping | |
dc.title.en | Notes on Lieb-Thirring type inequality for a complex perturbation of fractional Schrödinger operator. | |
dc.type | Document de travail - Pré-publication | |
dc.subject.hal | Mathématiques [math]/Théorie spectrale [math.SP] | |
dc.identifier.arxiv | 1403.5116 | |
hal.identifier | hal-00959766 | |
hal.version | 1 | |
hal.origin.link | https://hal.archives-ouvertes.fr//hal-00959766v1 | |
bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=DUBUISSON,%20Cl%C3%A9ment&rft.genre=preprint |
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