A perturbation theorem for operator semigroups in Hilbert spaces |
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| Authors: | C Kaiser and L Weis |
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| Institution: | (1) Mathematisches Institut I Universit?t Karlsruhe (TH) Englerstra? e 2 76128 Karlsruhe, Germany cornelia.kaiser@math.uni-karlsruhe.de lutz.weis@math.uni-karlsruhe.de, DE |
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| Abstract: | 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 = i u
(2k)
+V· u
(l)
on L
2
(R) generate a semigroup that is strongly continuous on (0,∞) . |
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| Keywords: | |
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