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.
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页数：13
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