Polynomial stabilization of the wave equation with Ventcel's boundary conditions

被引：22

作者：

Nicaise, Serge ^{[1
]}

Laoubi, Karima ^{[2
]}

机构：

[1] Univ Valenciennes & Hainaut Cambresis, LAMAV, FR CNRS 2956, Inst Sci & Tech Valenciennes, F-59313 Valenciennes 9, France

[2] Univ Mhamed Bougara Boumerdes, Dept Math, Fac Sci, Boumerdes 35000, Algeria

来源：

MATHEMATISCHE NACHRICHTEN | 2010年 / 283卷 / 10期

关键词：

Stabilization; wave equation; Ventcel's boundary conditions; DECAY-RATES; SYSTEM; ENERGY;

D O I：

10.1002/mana.200710162

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the wave equation on the unit square of the plane with Ventcel boundary conditions on a part of the boundary. It was shown by A. Heminna [8] that this problem is not exponentially stable. Here using a Fourier analysis and a careful analysis of the 1-d problem with respect to the Fourier parameter l, we show a polynomial stability of this system. (C) 2010 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

引用

页码：1428 / 1438

页数：11

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