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

Analysis of PDEs 2009-10-05 v2
Authors: M. M. Cavalcanti , V. N. Domingos Cavalcanti , F. Natali
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Abstract

The exponential decay rate of L2−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 H1−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.

Keywords

Korteweg-de Vries equation exponential decay localized damping L2 norm H1 norm stabilization

Cite

@article{arxiv.0906.0285,
  title  = {Exponential Decay Rates for the Damped Korteweg-de Vries Type Equation},
  author = {M. M. Cavalcanti and V. N. Domingos Cavalcanti and F. Natali},
  journal= {arXiv preprint arXiv:0906.0285},
  year   = {2009}
}

Comments

17 pages

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