Exponential Decay Rates for the Damped Korteweg-de Vries Type Equation
| Autor: | Cavalcanti, M. M., Cavalcanti, V. N. Domingos, Natali, F. |
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| Rok vydání: | 2009 |
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| Druh dokumentu: | Working Paper |
| Popis: | 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. Comment: 17 pages |
| Databáze: | arXiv |
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