Global existence and energy decay of solutions for Kirchhoff-Carrier equations with weakly nonlinear dissipation

被引：1

作者：

Benaissa, A

Rahmani, L

机构：

[1] Univ Djillali Liabes Sidi Bel Abbes, Fac Sci, Dept Math, Sidi Bel Abbes 22000, Algeria

[2] Univ Mouloud Mammeri, Fac Sci, Dept Math, Tiziouzou 15000, Algeria

来源：

BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN | 2004年 / 11卷 / 04期

关键词：

quasilinear wave equation; global existence; asymptotic behavior; nonlinear dissipative term; multiplier method;

D O I：

10.36045/bbms/1102689121

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we prove the global existence and study decay property of the solutions to the initial boundary value problem for the solutions to the quasilinear wave equation of Kirchhoff-Carrier type with a general weakly nonlinear dissipative term by constructing a stable set in H-2 boolean AND H-0(1).

引用

页码：547 / 574

页数：28

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