A resolvent approach to the stability of essential and critical spectra of perturbed C 0-semigroups on Hilbert spaces with applications to transport theory

Abstract : We give sufficient conditions in terms of resolvents implying the stability of the essential or critical spectra of perturbed C 0-semigroups on Hilbert spaces. We also show how these results apply to transport theory.
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Contributor : Mohammed Sbihi <>
Submitted on : Tuesday, December 8, 2015 - 2:16:16 PM
Last modification on : Wednesday, July 24, 2019 - 11:48:01 PM

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Mohammed Sbihi. A resolvent approach to the stability of essential and critical spectra of perturbed C 0-semigroups on Hilbert spaces with applications to transport theory. Journal of Evolution Equations, Springer Verlag, 2007, ⟨10.1007/s00028-006-0226-2⟩. ⟨hal-01239915⟩

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