论文标题
对数laplacian的光谱特性
Spectral properties of the logarithmic Laplacian
论文作者
论文摘要
我们在开放式套装$ \ frac12 \，\ log（-ulog（-Δ）$的离散光谱中，我们获得了光谱不平等和渐近公式。我们还得出了有关特征值$λ_1（ω）$的下限的一些结果，并将其与以前已知的不等式进行了比较。
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.
