Uniform stabilization of Kirchhoff problems without damping

被引：0

作者：

Clark, Haroldo Rodrigues ^{[1
]}

Guardia, Ronald Ramos ^{[2
]}

机构：

[1] Univ Fed Piaui UFPI, BR-64202020 Parnaiba, PI, Brazil

[2] Univ Fed Piaui UFPI, PGMAT, CAPES PNPD20130208 21001014021P7, Parnaiba, PI, Brazil

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2018年 / 41卷 / 17期

关键词：

global existence; quasilinear Kirchhoff equation; uniqueness and uniform stabilization; BOUNDARY STABILIZATION; WAVE-EQUATIONS; ENERGY DECAY; VIBRATIONS; EXISTENCE;

D O I：

10.1002/mma.5230

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with the existence and uniqueness of global solutions and uniform stabilization of the energy of initial-boundary value problems for quasilinear equations of the Kirchhoff type. The asymptotic stabilization of the solutions of these problems are obtained without any dissipative mechanism acting on the displacement variable.

引用

页码：7667 / 7677

页数：11

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