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The Critical Spectrum of a Strongly Continuous Semigroup

✍ Scribed by Rainer Nagel; Jan Poland

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 132 KB
Volume: 152
Category: Article
ISSN: 0001-8708
DOI: 10.1006/aima.1998.1893

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✦ Synopsis

For a strongly continuous semigroup (T(t)) t 0 with generator A we introduce its critical spectrum _ crit (T(t)). This yields in an optimal way the spectral mapping theorem _(T(t))=e t_(A) _ _ crit (T(t)) and improves classical stability results. 2000

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