B-essential spectra of operators matrix block 3 x 3 applied to a radiative transfer equations in a channel

被引：2
作者：
Abdmouleh, Faical [1 ]
Bahloul, Aymen [2 ]
Walha, Ines [2 ]
机构：
[1] Univ Sfax, Higher Inst Ind Management Sfax, BP 1164, Sfax 3021, Tunisia
[2] Univ Sfax, Fac Sci Sfax, Dept Math, BP 1171, Sfax 3000, Tunisia
来源：
BULLETIN DES SCIENCES MATHEMATIQUES | 2024年 / 191卷
关键词：
B-Fredholm; B-Weyl; B -essential spectra; Matrix operator; Radiative transfer;
D O I：
10.1016/j.bulsci.2024.103400
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The aim of this paper is to study the stability of some B-essential spectra for closed linear operators in a Banach space under finite rank perturbations and to provide a characterization of specific B-essential spectra associated with a 3 x 3 unbounded operator matrix defined over its maximal domain. As an application, grounded in this novel investigation, we present the diffusion problem of radiative transfer equations in a channel. (c) 2024 Elsevier Masson SAS. All rights reserved.
引用
收藏
页数：30
相关论文
共 37 条
[1]  
Abdmouleh F, 2017, B IRAN MATH SOC, V43, P1543
[2]   B-essential spectra of 2 x 2 block operator matrix pencils [J].
Abdmouleh, Faical ;
Bahloul, Aymen ;
Walha, Ines .
GEORGIAN MATHEMATICAL JOURNAL, 2023, 30 (02) :161-172
[3]   B-essential and B-Weyl spectra of sum of two commuting bounded operators [J].
Abdmouleh, Faical .
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2016, 47 (01) :23-31
[4]   Fredholm and Local Spectral Theory II: With Application to Weyl-Type Theorems [J].
Aiena, P. .
FREDHOLM AND LOCAL SPECTRAL THEORY II: WITH APPLICATION TO WEYL-TYPE THEOREMS, 2018, 2235 :1-544
[5]   THE ESSENTIAL SPECTRUM OF SOME MATRIX OPERATORS [J].
ATKINSON, FV ;
LANGER, H ;
MENNICKEN, R ;
SHKALIKOV, AA .
MATHEMATISCHE NACHRICHTEN, 1994, 167 :5-20
[6]   Generalized Drazin Invertibility of Operator Matrices [J].
Bahloul, Aymen ;
Walha, Ines .
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2022, 43 (16) :1836-1847
[7]   Diffusion approximation of radiative transfer equations in a channel [J].
Bal, G .
TRANSPORT THEORY AND STATISTICAL PHYSICS, 2001, 30 (2-3) :269-293
[8]   Restriction of an operator to the range of its powers [J].
Berkani, M .
STUDIA MATHEMATICA, 2000, 140 (02) :163-175
[9]   B-Fredholm Properties of Closed Invertible Operators [J].
Berkani, M. ;
Moalla, N. .
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2016, 13 (06) :4175-4185
[10]  
Berkani M, 2001, GLASGOW MATH J, V43, P457
1234