Dirichlet fractional Laplacian in multi-tubes

IF 1 3区数学 Q1 MATHEMATICS

Journal of Spectral Theory Pub Date : 2023-09-13 DOI:10.4171/jst/458

Fedor Bakharev, Alexander Nazarov

引用次数: 0

Abstract

We describe the spectrum structure for the restricted Dirichlet fractional Laplacian in multi-tubes, i.e., domains with cylindrical outlets to infinity. Some new effects in comparison with the local case are discovered.

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多管中的狄利克雷分数拉普拉斯

我们描述了多管(即具有圆柱出口到无穷远的区域)中的受限狄利克雷分数阶拉普拉斯算子的谱结构。通过与当地案例的比较，发现了一些新的效应。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Spectral Theory MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.00

自引率

0.00%

发文量

期刊介绍： The Journal of Spectral Theory is devoted to the publication of research articles that focus on spectral theory and its many areas of application. Articles of all lengths including surveys of parts of the subject are very welcome. The following list includes several aspects of spectral theory and also fields which feature substantial applications of (or to) spectral theory. Schrödinger operators, scattering theory and resonances; eigenvalues: perturbation theory, asymptotics and inequalities; quantum graphs, graph Laplacians; pseudo-differential operators and semi-classical analysis; random matrix theory; the Anderson model and other random media; non-self-adjoint matrices and operators, including Toeplitz operators; spectral geometry, including manifolds and automorphic forms; linear and nonlinear differential operators, especially those arising in geometry and physics; orthogonal polynomials; inverse problems.