Existence and uniform decay of solutions of a degenerate equation with nonlinear boundary damping

被引：2

作者：

Park, JY ^{[1
]}

Kim, HM ^{[1
]}

Kim, JA ^{[1
]}

机构：

[1] Pusan Natl Univ, Dept Math, Pusan 609735, South Korea

来源：

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2003年 / 24卷 / 3-4期

关键词：

existence of solution; uniform decay; degenerate equation; boundary stabilization; a priori estimate;

D O I：

10.1081/NFA-120022921

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article we prove the existence, uniqueness, and uniform decay of solution to the mixed problem for degenerate equation with nonlinear boundary damping term. The existence is proved by means of the Faedo-Galerkin method, and the asymptotic behavior is obtained by making use of the multiplier technique combined with integral inequalities due to Komornik.

引用

页码：257 / 272

页数：16

共 7 条

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