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Existence of the discrete spectrum in the Fichera layers and crosses of arbitrary dimension. / Бахарев, Федор Львович; Назаров, Александр Ильич.

In: Journal of Functional Analysis, Vol. 281, No. 4, 109071, 15.08.2021.

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@article{ce77b0256c54410dbae4a956dd8e84cd,
title = "Existence of the discrete spectrum in the Fichera layers and crosses of arbitrary dimension",
abstract = "We describe the Dirichlet spectrum structure for the Fichera layers and crosses in any dimension n\geq 3 . Also the application of the obtained results to the classical Brownian exit times problem in these domains is given.",
keywords = "Dirichlet layers, Bound states, Discrete spectrum, Brownian exit time, 1ST EXIT TIME, BROWNIAN-MOTION, BOUND-STATES",
author = "Бахарев, {Федор Львович} and Назаров, {Александр Ильич}",
year = "2021",
month = aug,
day = "15",
doi = "10.1016/j.jfa.2021.109071",
language = "English",
volume = "281",
journal = "Journal of Functional Analysis",
issn = "0022-1236",
publisher = "Elsevier",
number = "4",

}

RIS

TY - JOUR

T1 - Existence of the discrete spectrum in the Fichera layers and crosses of arbitrary dimension

AU - Бахарев, Федор Львович

AU - Назаров, Александр Ильич

PY - 2021/8/15

Y1 - 2021/8/15

N2 - We describe the Dirichlet spectrum structure for the Fichera layers and crosses in any dimension n\geq 3 . Also the application of the obtained results to the classical Brownian exit times problem in these domains is given.

AB - We describe the Dirichlet spectrum structure for the Fichera layers and crosses in any dimension n\geq 3 . Also the application of the obtained results to the classical Brownian exit times problem in these domains is given.

KW - Dirichlet layers

KW - Bound states

KW - Discrete spectrum

KW - Brownian exit time

KW - 1ST EXIT TIME

KW - BROWNIAN-MOTION

KW - BOUND-STATES

UR - https://www.mendeley.com/catalogue/6b3a5a64-fdee-37f9-b9ff-7474df12da4e/

U2 - 10.1016/j.jfa.2021.109071

DO - 10.1016/j.jfa.2021.109071

M3 - Article

VL - 281

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

SN - 0022-1236

IS - 4

M1 - 109071

ER -

ID: 77947956