Weak \(L^ p\)-stability of a linear semigroup on a Hilbert space implies exponential stability

DOI10.1016/0022-0396(88)90075-7zbMath0675.47031OpenAlexW2021191412MaRDI QIDQ1122122

George Weiss

Publication date: 1988

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(88)90075-7

zbMATH Keywords

strongly continuous semigroupHilbert spaceCauchy problemslinear operatorsexponentially stableweakly \(L^ p\)-stable

Mathematics Subject Classification ID

Groups and semigroups of linear operators (47D03) Linear differential equations in abstract spaces (34G10)

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Cites Work

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• Semigroups of linear operators and applications to partial differential equations
• One-parameter semigroups of positive operators
• Extending a theorem of A. M. Liapunov to Hilbert space
• On the Spectrum of C 0 -Semigroups
• On a discrete-time version of a problem of A. J. Pritchard and J. Zabczyk
• Stability and Stabilizability of Infinite-Dimensional Systems
• Weakly /^pstable linear operators are power stable
• On the Applicability of Lyapunov’s Theorem in Hilbert Space

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