Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
We show that, for a semilinear parabolic equation on the real line satisfying a dissipativity condition, global attractors of time-space discretizations converge (with respect to the Hausdorff semi-distance) to the attractor of the continuous system as the discretization steps tend to zero. The attractors considered correspond to pairs of function spaces (in the sense of Babin-Vishik) with weighted and locally uniform norms (taken from Mielke-Schneider) used both for the continuous and discrete systems. Bibliography: 13 titles.
Язык оригинала | английский |
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Страницы (с-по) | 3655-3671 |
Число страниц | 17 |
Журнал | Journal of Mathematical Sciences |
Том | 136 |
Номер выпуска | 2 |
DOI | |
Состояние | Опубликовано - июл 2006 |
ID: 92248537