On the stabilization of the Korteweg–de Vries equation - doi: 10.5269/bspm.v28i2.11215
Komornik, Vilmos
Boletim da Sociedade Paranaense de Matemática, Tome 28 (2010), / Harvested from Portal de Periódicos da UEM
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We consider the Korteweg–de Vries equation on a bounded intervalwith periodic boundary conditions. We prove that a natural mass conserving global feedback exponentially stabilizes the system in all Sobolev norms and we obtain explicit decay rates. The proofs are based on the family of conservation laws for the Korteweg–de Vries equation.

Publié le : 2010-01-01
DOI : https://doi.org/10.5269/bspm.v28i2.11215 
@article{11215,
     title = {On the stabilization of the Korteweg--de Vries equation - doi: 10.5269/bspm.v28i2.11215},
     journal = {Boletim da Sociedade Paranaense de Matem\'atica},
     volume = {28},
     year = {2010},
     doi = {10.5269/bspm.v28i2.11215},
     language = {EN},
     url = {http://dml.mathdoc.fr/item/11215}
}

Komornik, Vilmos. On the stabilization of the Korteweg–de Vries equation - doi: 10.5269/bspm.v28i2.11215. Boletim da Sociedade Paranaense de Matemática, Tome 28 (2010) . doi : 10.5269/bspm.v28i2.11215. http://gdmltest.u-ga.fr/item/11215/