Decay Rate of exp(A-1t)A-1 on a Hilbert Space and the Crank–Nicolson Scheme with Smooth Initial Data

This paper is concerned with the decay rate of e A - 1 t A - 1 for the generator A of an exponentially stable C 0 -semigroup on a Hilbert space. To estimate the decay rate of e A - 1 t A - 1 , we apply a bounded functional calculus. Using this estimate and Lyapunov equations, we also study the quant...

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Veröffentlicht in:	Integral equations and operator theory 2023, Vol.95 (4)
1. Verfasser:	Wakaiki, Masashi
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis Asymptotic properties Crank-Nicholson method Decay rate Hilbert space Mathematics Mathematics and Statistics Semigroups
Online-Zugang:	Volltext
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