APPLICATIONS OF HILBERT SPACE DISSIPATIVE NORM

作者:Kubrusly Carlos S*; Levan Nhan
来源:Bulletin of the Korean Mathematical Society, 2012, 49(1): 99-107.
DOI:10.4134/BKMS.2012.49.1.099

摘要

The concept of Hilbert space dissipative norm was introduced in [8] to obtain necessary and sufficient conditions for exponential stability of contraction semigroups. In the present paper we show that the same concept can also be used to derive further properties of contraction semigroups, as well as to characterize strongly stable semigroups that are not exponentially stable.

  • 出版日期2012-1

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