Global well-posedness and exponential decay rates for a KdV-Burgers equation with indefinite damping

被引：22

作者：

Cavalcanti, M. M. ^{[1
]}

Domingos Cavalcanti, V. N. ^{[1
]}

Komornik, V. ^{[2
]}

Rodrigues, J. H. ^{[1
]}

机构：

[1] Univ Estadual Maringa, Dept Matemat, BR-87020900 Maringa, Parana, Brazil

[2] Univ Strasbourg, Dept Math, F-67084 Strasbourg, France

来源：

ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE | 2014年 / 31卷 / 05期

关键词：

KdV-Burgers equation; Well-posedness; Stabilization by feedback; Decay rate; DE-VRIES EQUATION; STABILIZATION;

D O I：

10.1016/j.anihpc.2013.08.003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the KdV Burgers equation u(t) + u(xxx) - u(xx) + lambda u + uu(x) = 0 and its linearized version u(t) + u(xxx) - u(xx) + lambda u = 0 on the whole real line. We investigate their well-posedness their exponential stability when A is an indefinite damping. (C) 2013 Elsevier Masson SAS. All rights reserved.

引用

页码：1079 / 1100

页数：22

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