Perturbation theory for dual semigroups II. Time-dependent perturbations in the sun-reflexive case
Perturbation theory for dual semigroups II. Time-dependent perturbations in the sun-reflexive case
Synopsis We consider time-dependent perturbations of generators of strongly continuous semigroups on a Banach space. The perturbations map the Banach space into a bigger space, which is the second dual of the original space in a specific semigroup sense. Using the theory of dual semigroups we show that the solutions …