arXiv Open Access 2014

Notes on Lieb-Thirring type inequality for a complex perturbation of fractional Schrödinger operator

Clément Dubuisson

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Abstrak

For $s\textgreater{}0$, let $H\_0=(-Δ)^s$ be the fractional Laplacian. In this paper, we obtainLieb-Thirring type inequalities for the fractional Schrödinger 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}.

Topik & Kata Kunci

math.SP

Penulis (1)

Clément Dubuisson

Format Sitasi

APA MLA BibTeX

Dubuisson, C. (2014). Notes on Lieb-Thirring type inequality for a complex perturbation of fractional Schrödinger operator. https://arxiv.org/abs/1403.5116

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2014
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓