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On the stability of asymptotic properties of perturbed C0-semigroups
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Valentina Casarino
Published/Copyright:
March 4, 2009
Abstract
We give conditions on a strongly continuous semigroup 𝒯 and an unbounded perturbation B in the class of Miyadera-Voigt such that the perturbed semigroup 𝒮 inherits asymptotic properties of 𝒯 as boundedness, asymptotic almost periodicity, uniform ergodicity and total uniform ergodicity. A systematic application of the abstract result to partial differential equations with delay is made.
Received: 1999-06-23
Revised: 1999-10-20
Published Online: 2009-03-04
Published in Print: 2001-January
© de Gruyter 2001
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Articles in the same Issue
- Regularity theory for some semi-linear equations: the Q-method
- Covers of algebraic varieties IV. A Bertini theorem for scandinavian covers
- Asymptotic Dirichlet problem for harmonic maps via rough isometry
- Feller semigroups, Lp-sub-Markovian semigroups, and applications to pseudo-differential operators with negative definite symbols
- On the stability of asymptotic properties of perturbed C0-semigroups
- Nonvanishing of the central critical value of the third symmetric power L-functions
- Nilmanifolds are Jiang-type spaces for coincidences
- BR-groups with critical type set (1, 2)
