On the exponential decay of the critical generalized Korteweg-de Vries equation with localized damping

被引：52

作者：

Linares, F.

Pazoto, A. F.

机构：

[1] IMPA, BR-22460320 Rio De Janeiro, Brazil

[2] Univ Fed Rio de Janeiro, Math Inst, BR-21945970 Rio De Janeiro, Brazil

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2007年 / 135卷 / 05期

关键词：

exponential decay; stabilization; Korteweg-de Vries equation;

D O I：

10.1090/S0002-9939-07-08810-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the asymptotic behavior of solutions of the critical generalized Korteweg-de Vries equation in a bounded interval with a localized damping term. Combining multiplier techniques and compactness arguments it is shown that the problem of exponential decay of the energy is reduced to prove the unique continuation property of weak solutions. A locally uniform stabilization result is derived.

引用

页码：1515 / 1522

页数：8

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[4]

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