Well-posedness and exponential decay estimates for a Korteweg-de Vries-Burgers equation with time-delay

被引：16

作者：

Komornik, Vilmos ^{[1
]}

Pignotti, Cristina ^{[2
]}

机构：

[1] Univ Strasbourg, Dept Math, 7 Rue Rene Descartes, F-67084 Strasbourg, France

[2] Univ Aquila, Dipartimento Ingn & Sci Informaz & Matemat, Via Vetoio, I-67010 Laquila, Italy

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2020年 / 191卷

关键词：

KdV-Burgers equation; Time delay; Well-posedness; Stabilization by feedback; BOUNDARY FEEDBACK STABILIZATION; ABSTRACT EVOLUTION-EQUATIONS; KDV EQUATION; STABILITY; SYSTEMS;

D O I：

10.1016/j.na.2019.111646

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the KdV-Burgers equation and its linear version in presence of a delay feedback. We prove well-posedness of the models and exponential decay estimates under appropriate conditions on the damping coefficients. Our arguments rely on a Lyapunov functional approach combined with a step by step procedure and semigroup theory. (C) 2019 Elsevier Ltd. All rights reserved.

引用

页数：13

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