| Автор | Allibert, Brice |
| Дата выпуска | 1999 |
| dc.description | We analyze the controllability of the wave equation on a cylinder when the control acts on the boundary, that does not satisfy the classical geometric control condition. We obtain precise estimates on the analyticity of reachable functions. As the control time increases, the degree of analyticity that is required for a function to be reachable decreases as an inverse power of time. We conclude that any analytic function can be reached if that control time is large enough. In the C <sup>∞</sup> class, a precise description of all reachable functions is given. |
| Формат | application.pdf |
| Издатель | EDP Sciences |
| Копирайт | © EDP Sciences, SMAI, 1999 |
| Тема | Wave equation |
| Тема | attainable set |
| Тема | analyticity |
| Тема | boundary control. |
| Название | Analytic controllability of the wave equation over a cylinder |
| Тип | research-article |
| DOI | 10.1051/cocv:1999109 |
| Electronic ISSN | 1262-3377 |
| Print ISSN | 1292-8119 |
| Журнал | ESAIM: Control, Optimisation and Calculus of Variations |
| Том | 4 |
| Первая страница | 177 |
| Последняя страница | 207 |
| Аффилиация | Allibert Brice; CMAT, École Polytechnique, UMR 7640 du CNRS, F-91128 Palaiseau, France; allibert@math.polytechnique.fr. |
