Exponential Stability for the Generalized Korteweg-de Vries Equation in a Finite Interval with Weak Damping
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The aim of this paper is to consider the generalized Korteweg-de Vries equation in a finite interval with a very weak localized dissipation. We obtain the globally uniformly exponentially stability of this equation. The main difficulty in this context comes from the structure of nonlinear term and the lack of regularity.
Key wordsExponential decay stabilization Korteweg-de Vries equation
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