| Автор | Martinez, Patrick |
| Дата выпуска | 1999 |
| dc.description | We consider the wave equation damped with a boundary nonlinear velocity feedback p(u'). Under some geometrical conditions, we prove that the energy of the system decays to zero with an explicit decay rate estimate even if the function ρ has not a polynomial behavior in zero. This work extends some results of Nakao, Haraux, Zuazua and Komornik, who studied the case where the feedback has a polynomial behavior in zero and completes a result of Lasiecka and Tataru. The proof is based on the construction of a special weight function (that depends on the behavior of the function ρ in zero), and on a new nonlinear integral inequality. |
| Формат | application.pdf |
| Издатель | EDP Sciences |
| Копирайт | © EDP Sciences, SMAI, 1999 |
| Тема | Nonlinear stabilization |
| Тема | asymptotic behavior in zero and at infinity. |
| Название | A new method to obtain decay rate estimates for dissipative systems |
| Тип | research-article |
| DOI | 10.1051/cocv:1999116 |
| Electronic ISSN | 1262-3377 |
| Print ISSN | 1292-8119 |
| Журнал | ESAIM: Control, Optimisation and Calculus of Variations |
| Том | 4 |
| Первая страница | 419 |
| Последняя страница | 444 |
| Аффилиация | Martinez Patrick; Département de Mathématiques, ENS Cachan, Antenne de Bretagne and IRMAR, Université Rennes I, Campus de Ker Lann, 35170 Bruz, France; martinez@bretagne.ens-cachan.fr. |
