SPECTRAL ANALYSIS AND EXPONENTIAL STABILITY OF A MOORE-GIBSON-THOMPSON EQUATION

被引：0

作者：

Bezerra, Flank ^{[1
]}

Santos, Lucas ^{[2
]}

Silva, Maria ^{[1
]}

takaessu Jr, Carlos ^{[3
]}

机构：

[1] Univ Fed Paraiba, Dept Matemat, BR-58051900 Joao Pessoa, PB, Brazil

[2] Inst Fed Paraiba, BR-58051900 Joao Pessoa, PB, Brazil

[3] Univ Sao Paulo, ICMC, Ave Trabalhador Sao Carlense, BR-13566590 Sao Carlos, SP, Brazil

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2024年

基金：

巴西圣保罗研究基金会;

关键词：

Analytic semigroup; characteristic polynomial; fractional power linear problem; Moore-Gibson-Thompson equation; strongly continuous semigroup; 3RD-ORDER;

D O I：

10.3934/dcdsb.2024098

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider a class of abstract third-order linear evolution equations in time which can be seen as a generalized fractional MooreGibson-Thompson (MGT) equation. Given the classic MGT model, we prove the well-posedness and exponential stability of our model in a suitable phase space.

引用

页数：13

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