Abstract
We prove a perturbation result for C 0-semigroups on Hilbert spaces and use it to show that certain operators of the form Au = iu (2k) + V · u (l) on L 2 (ℝ) generate a semigroup that is strongly continuous on (0, ∞).
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Communicated by Rainer Nagel
The research is supported in part by the Landesforschungsschwerpunkt Evolutionsgleichungen des Landes Baden-Württenberg.
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Kaiser, C., Weis, L. A perturbation theorem for operator semigroups in Hilbert spaces. Semigroup Forum 67, 63–75 (2003). https://doi.org/10.1007/s002330010166
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DOI: https://doi.org/10.1007/s002330010166