The resolvent growth assumption for semigroups on Hilbert spaces
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Publication:908501
DOI10.1016/0022-247X(90)90438-LzbMath0693.47034MaRDI QIDQ908501
Publication date: 1990
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
\(C_ 0\) semigroupgrowth of the resolvent of the generator along vertical lines in the complex planeNth asymptotic typeNth spectral type
Related Items (8)
Localized Stability Certificates for Spatially Distributed Systems over Sparse Proximity Graphs ⋮ Weak \(L^ p\)-stability of a linear semigroup on a Hilbert space implies exponential stability ⋮ Individual stability of \(C_0\)-semigroups with uniformly bounded local resolvent ⋮ Stabilizability properties of a linearized water waves system ⋮ Asymptotic behavior of 𝐶₀-semigroups in Banach spaces ⋮ Approximation and uniform polynomial stability ofC0-semigroups ⋮ A local version of Gearhart's theorem ⋮ Regularization and frequency-domain stability of well-posed systems
Cites Work
- Interpolation for (positive) \(C_ 0\)-semigroups on \(L_ p\)-spaces
- Semigroups of linear operators and applications to partial differential equations
- One-parameter semigroups of positive operators
- Weak \(L^ p\)-stability of a linear semigroup on a Hilbert space implies exponential stability
- On the stabilizability problem in Banach space
- On the Spectrum of C 0 -Semigroups
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