Exponential decay for a locally damped fifth-order equation posed on the line

被引：3

作者：

Doronin, G. G. ^{[1
]}

Natali, F. ^{[1
]}

机构：

[1] Univ Estadual Maringa, Dept Matemat, Ave Colombo 5790, BR-87020900 Maringa, Parana, Brazil

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2016年 / 30卷

关键词：

Fifth-order equation; Exponential decay; Bourgain spaces; KAWAHARA EQUATION; STABILIZATION; WAVES; APPROXIMATION;

D O I：

10.1016/j.nonrwa.2015.11.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove the exponential decay of the energy related to a locally damped fifth-order equation posed on the whole real line with the initial datum from a bounded set of L-2. A local smoothing effect in H-2 is established, which is essential to obtain the necessary a priory estimates. Moreover, it is shown that arguments used in the article can be applied to prove the exponential decay rate of solutions for the Korteweg-de Vries equation with a similar localized damping term provided the initial data are uniformly bounded in L-2. This last fact improves some previous results. (C) 2015 Elsevier Ltd. All rights reserved.

引用

页码：59 / 72

页数：14

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