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A direct approach to the Weiss conjecture for bounded analytic semigroups. (English) Zbl 1220.47058
Summary: We give a new proof of the Weiss conjecture for analytic semigroups. Our approach does not take any recourse to the bounded \(H^{\infty}\)-calculus and is based solely on elementary analysis.

MSC:
47D06 One-parameter semigroups and linear evolution equations
34K35 Control problems for functional-differential equations
35Q93 PDEs in connection with control and optimization
93B36 \(H^\infty\)-control
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