Existence of the discrete spectrum in the Fichera layers and crosses of arbitrary dimension

被引：6

作者：

Bakharev, F. L. ^{[1
]}

Nazarov, A., I ^{[1
,2
]}

机构：

[1] St Petersburg State Univ, Univ Skaya Emb 7-9, St Petersburg 199034, Russia

[2] Russian Acad Sci, St Petersburg Dept, Steklov Math Inst, Fontanka 27, St Petersburg 191023, Russia

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2021年 / 281卷 / 04期

基金：

俄罗斯科学基金会;

关键词：

Dirichlet layers; Bound states; Discrete spectrum; Brownian exit time; 1ST EXIT TIME; BROWNIAN-MOTION; BOUND-STATES;

D O I：

10.1016/j.jfa.2021.109071

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We describe the Dirichlet spectrum structure for the Fichera layers and crosses in any dimension n >= 3. Also the application of the obtained results to the classical Brownian exit times problem in these domains is given. (C) 2021 Elsevier Inc. All rights reserved.

引用

页数：19

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