|
|||||
|
|
On the exponential decay of the critical generalized Korteweg-de Vries equation with localized damping |
|
| Authors: | F. Linares A. F. Pazoto |
| Affiliation: | IMPA, Estrada Dona Castorina 110, Rio de Janeiro, 22460--320, Brazil ; Institute of Mathematics, Federal University of Rio de Janeiro, UFRJ, P.O. Box 68530, CEP 21945-970, Rio de Janeiro, RJ, Brasil |
| Abstract: | This paper is concerned with the asymptotic behavior of solutions of the critical generalized Korteweg-de Vries equation in a bounded interval with a localized damping term. Combining multiplier techniques and compactness arguments it is shown that the problem of exponential decay of the energy is reduced to prove the unique continuation property of weak solutions. A locally uniform stabilization result is derived. |
| Keywords: | Exponential decay stabilization Korteweg-de Vries equation |
| 点击此处可从《Proceedings of the American Mathematical Society》浏览原始摘要信息 | |
| 点击此处可从《Proceedings of the American Mathematical Society》下载全文 | |