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arXiv · 0906.0285

Exponential Decay Rates for the Damped Korteweg-de Vries Type Equation

M. M. Cavalcanti·V. N. Domingos Cavalcanti·F. Natali
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Abstract

The exponential decay rate of $L^2-$norm related to the Korteweg-de Vries equation with localized damping posed on whole real line will be established. In addition, by using classical arguments we determine the $H^1-$norm of the solution associated to Korteweg-de Vries equation with damping in whole domain, can not have a decay property for an arbitrary initial data.

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M. M. Cavalcanti, V. N. Domingos Cavalcanti, F. Natali. 2009-10-05. Exponential Decay Rates for the Damped Korteweg-de Vries Type Equation. https://arxiv.org/abs/0906.0285

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