n-Laplacians on Metric Graphs and Almost Periodic Functions: I
n-Laplacians on Metric Graphs and Almost Periodic Functions: I
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度量图和近似周期函数上的 n 拉普拉斯算子：I
DOI：
10.1007/s00023-020-00979-1
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发表时间：
2020
期刊：
影响因子：
--
通讯作者：
Jacob Muller
中科院分区：
文献类型：
--
作者：
P. Kurasov;Jacob Muller
研究了有限度量图上的n -Laplacian算子$$（-\Delta）^n$（- Δ）n的谱.一个有效的长期方程推导和谱渐近分析，利用事实，长期功能是接近一个三角多项式。引入了拟谱的概念，并利用概周期函数理论证明了拟谱的唯一性。为了实现这一点，新的结果有关的根的函数接近概周期函数被证明。在概周期函数上得到的结果在微分算子理论之外具有普遍意义。
The spectra of n -Laplacian operators $$(-\Delta )^n$$ ( - Δ ) n on finite metric graphs are studied. An effective secular equation is derived and the spectral asymptotics are analysed, exploiting the fact that the secular function is close to a trigonometric polynomial. The notion of the quasispectrum is introduced, and its uniqueness is proved using the theory of almost periodic functions. To achieve this, new results concerning roots of functions close to almost periodic functions are proved. The results obtained on almost periodic functions are of general interest outside the theory of differential operators.
影响因子：
1.3
作者：
G. Berkolaiko;J. Kennedy;P. Kurasov;Delio Mugnolo
通讯作者：
G. Berkolaiko;J. Kennedy;P. Kurasov;Delio Mugnolo