Polynomial stability of a piezoelectric beam with magnetic effect and a boundary dissipation of the fractional derivative type

被引：3

作者：

Poblete, Veronica ^{[1
]}

Toledo, Fernando ^{[2
]}

Vera, Octavio ^{[3
]}

机构：

[1] Univ Chile, Dept Matemat, Santiago 8320000, Region Metropol, Chile

[2] Univ Bio Bio, Dept Ciencias Basicas, Concepcion 3349001, Region Del Biob, France

[3] Univ Tarapaca, Dept Matemat, Arica 1000000, Region De Arica, Chile

来源：

PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY | 2023年 / 66卷 / 01期

关键词：

semigroup theory; piezoelectric beam; polynomial stability; fractional derivative type; Asymptotic decay;

D O I：

10.1017/S0013091523000111

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This work studies the asymptotic behavior of a waves coupled system with a boundary dissipation of the fractional derivative type. We prove well-posedness and polynomial stability based on the semigroup approach, the energy method, and the result of stability.

引用

页码：23 / 53

页数：31

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