On the semigroup of linearized forced elongation

On the semigroup of linearized forced elongation
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关于线性化受力伸长半群

DOI:
10.1016/j.aml.2004.09.010
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发表时间:
2005
期刊:
Appl. Math. Lett.
影响因子:
--
通讯作者:
T. Hagen
T. Hagen
中科院分区:
--
文献类型:
--
作者:
T. Hagen

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本文分析了强迫伸长的线性化方程。我们证明了这些方程的解是由物理正确状态空间L1(0,1)上的拟压缩C 0-半群给出的,并且该半群是最终可微的.
In this note we analyze the linearized equations of forced elongation. We prove that solutions of these equations are given by a quasi-contraction C0-semigroup on the physically correct state space L1(0,1) and that the semigroup is eventually differentiable.