Titlebook: Operator Semigroups Meet Complex Analysis, Harmonic Analysis and Mathematical Physics; Wolfgang Arendt,Ralph Chill,Yuri Tomilov Conference

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Polynomial Internal and External Stability of Well-posed Linear Systems,p. Using these concepts, the polynomial stability of the given ..-semigroup governing the state equation can be characterized via polynomial bounds on the transfer function. We further give sufficient conditions for polynomial stabilizability and detectability in terms of decompositions into a polyn

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清洗

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Multiscale Unique Continuation Properties of Eigenfunctions,perators and control theory..We review recent results and announce new ones regarding quantitative unique continuation principles for partial differential equations with an underlying multiscale structure. They concern Schrödinger and second-order elliptic operators. An important feature is that the

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Estimates on Non-uniform Stability for Bounded Semigroups,maginary axis. In [6], Charles J.K. Batty and the author have given an estimate of the decay of the operator norm of ., as . tends to infinity, in terms of asymptotic bounds of the resolvent of A on the imaginary axis. In this note, we give another proof of this result. The original proof relied on

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Some Operator Bounds Employing Complex Interpolation Revisited,particularly single out the case of self-adjoint and sectorial operators T. in some separable complex Hilbert space . and suppose that . (resp., .*) is a densely defined closed operator mapping dom ., relatively bounded with respect to .. Using complex interpolation methods, a generalized polar deco

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