A semigroup approach to boundary feedback systems

被引：55
作者：
Casarino, V
Engel, KJ
Nagel, R
Nickel, G
机构：
[1] Politecn Torino, Dipartimento Matemat, I-10129 Turin, Italy
[2] Univ Aquila, Dipartimento Matemat, Sez Ingn, I-67040 Roio Poggio, AQ, Italy
[3] Univ Tubingen, Math Inst, D-72076 Tubingen, Germany
来源：
INTEGRAL EQUATIONS AND OPERATOR THEORY | 2003年 / 47卷 / 03期
关键词：
boundary feedback; strongly continuous semigroups; positivity; stability; operator matrices;
D O I：
10.1007/s00020-002-1163-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we convert a (linear abstract) initial boundary value problem into an abstract Cauchy problem on some product space and use semigroup methods to solve it. In particular, we apply spectral theory in order to discuss stability under boundary feedback.
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页码：289 / 306
页数：18
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