Compactness theorems for abstract evolution problems

被引：0
|
作者：
J.-F. Couchouron
机构：
[1] Université de Metz,
[2] Mathématiques INRIA Lorraine,undefined
[3] Ile du Saulcy,undefined
[4] 57045 Metz,undefined
[5] France,undefined
[6] e-mail: couchour@loria.fr ,undefined
来源：
Journal of Evolution Equations | 2002年 / 2卷
关键词：
Key words: Precompact trajectory, precompactness property, compact resolvent, mild solution, integral solution, Control Theory, Stabilization.;
D O I：
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学科分类号：
摘要：
This paper deals with precompactness of trajectories of solutions of general nonlinear evolution problems in Banach spaces in the compact resolvent case. We carry out new criterions which extend or supplement for instance fundamental results of Pazy, Dafermos-Slemrod or Webb. These criterions have staightforward applications to Dynamical Systems and Control Theory.
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页码：151 / 175
页数：24
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