arXiv Open Access 2020

Spectral properties of the logarithmic Laplacian

Ari Laptev Tobias Weth

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Abstrak

We obtain spectral inequalities and asymptotic formulae for the discrete spectrum of the operator $\frac12\, \log(-Δ)$ in an open set $Ω\in\Bbb R^d$, $d\ge2$, of finite measure with Dirichlet boundary conditions. We also derive some results regarding lower bounds for the eigenvalue $λ_1(Ω)$ and compare them with previously known inequalities.

Topik & Kata Kunci

math.SP

Penulis (2)

Ari Laptev

Tobias Weth

Format Sitasi

APA MLA BibTeX

Laptev, A., Weth, T. (2020). Spectral properties of the logarithmic Laplacian. https://arxiv.org/abs/2009.03395

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2020
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓