A Note on the Spectral Analysis of Some Fourth-Order Differential Equations with a Semigroup Approach

被引：0

作者：

Bezerra, Flank D. M. ^{[1
]}

Santos, Lucas A. ^{[2
]}

Silva, Maria J. M. ^{[1
]}

Takaessu Jr, Carlos R. R. ^{[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, Dept Matemat, Inst Ciencias Matemat & Computacao, Ave Trabalhador Sao Carlense 400, BR-13566590 Sao Carlos, SP, Brazil

来源：

RESULTS IN MATHEMATICS | 2023年 / 78卷 / 06期

基金：

巴西圣保罗研究基金会;

关键词：

Analytic semigroup; characteristic polynomial; fractional power linear problem; strongly continuous semigroup; WELL-POSEDNESS; THOMPSON; 3RD-ORDER;

D O I：

10.1007/s00025-023-01999-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we analyze the solubility of a class of abstract fourth-order in time linear evolution equations, using the roots of the characteristic polynomial that is associated with the equations.

引用

页数：14

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