Stability for a weakly coupled wave equations with a boundary dissipation of fractional derivative type

被引：4

作者：

Villagran, O. P. V. ^{[1
]}

Nonato, C. A. ^{[2
]}

Raposo, C. A. ^{[3
]}

Ramos, A. J. A. ^{[4
]}

机构：

[1] Univ Tarapaca, Dept Math, Casilla 7D, Arica, Chile

[2] Univ Fed Bahia, Av Adhemar Barros S-N, BR-40170115 Salvador, BA, Brazil

[3] Univ Fed Sao Joao del Rei, Math Dept, Praca Frei Orlando 170, BR-36307352 Sao Joao Del Rei, MG, Brazil

[4] Fed Univ Para, Fac Math, Rua Raimundo Santana S-N, BR-68721000 Salinopolis, Para, Brazil

来源：

RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO | 2023年 / 72卷 / 02期

关键词：

Semigroup theory; Waves coupled system; Polynomial stability; STABILIZATION;

D O I：

10.1007/s12215-021-00703-w

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper deals with the stability for a weakly coupled wave equations with a boundary dissipation of fractional derivative type. We have proved well posedness and polynomial stability using the semigroup theory and a sharp result provided by Borichev and Tomilov.

引用

页码：803 / 831

页数：29

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