Advances in Differential Equations

Exponential stabilization of a coupled system of Korteweg-de Vries equations with localized damping

E. Bisognin, V. Bisognin, and G. Perla Menzala

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Abstract

A locally uniform stabilization result of the solutions of a coupled system of Korteweg- de Vries equations in a bounded domain is established. The main novelty is that internally only a localized damping mechanism is considered.

Article information

Source
Adv. Differential Equations Volume 8, Number 4 (2003), 443-469.

Dates
First available in Project Euclid: 19 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.ade/1355926849

Mathematical Reviews number (MathSciNet)
MR1972596

Zentralblatt MATH identifier
1057.35048

Subjects
Primary: 35Q53: KdV-like equations (Korteweg-de Vries) [See also 37K10]
Secondary: 35B35: Stability 93C20: Systems governed by partial differential equations 93D15: Stabilization of systems by feedback

Citation

Bisognin, E.; Bisognin, V.; Perla Menzala, G. Exponential stabilization of a coupled system of Korteweg-de Vries equations with localized damping. Adv. Differential Equations 8 (2003), no. 4, 443--469. https://projecteuclid.org/euclid.ade/1355926849.


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