On perturbations of eventually compact semigroups preserving eventual compactness

被引:12
|
作者
Mátrai, T
机构
[1] Eotvos Lorand Univ, Dept Appl Anal, H-1117 Budapest, Hungary
[2] Univ Tubingen, Arbeitsgemeinschaft Funkt Anal, D-72074 Tubingen, Germany
关键词
D O I
10.1007/s00233-004-0137-x
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We show, within the context of Miyadera-Voigt perturbations on LP spaces, that for partial differential equations with delay arising from an immediately compact undelayed equation the delay semigroup is eventually compact. We also indicate how this result can be applied to the spectral analysis and numerical treatment of these equations.
引用
收藏
页码:317 / 340
页数:24
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