Relatively bounded extensions of generator perturbations
نویسندگان
چکیده
The Miyadera perturbation theorem provides as a by-product that operators defined on a core for the generator of a C0-semigroup and satisfying the Miyadera condition have a relatively bounded extension to the domain of the generator. We show that a weakening of the Miyadera condition characterizes relative boundedness with respect to the generator. We also investigate extensions of these results to Hille-Yosida operators. The various conditions we use in the abstract part are illustrated by several examples. 2000 MSC: 47D06, 47D62, 47A55, 47B60
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تاریخ انتشار 2003