On regularized quasi-semigroups and evolution equations. (English) Zbl 1206.47039

Summary: We introduce the notion of regularized quasi-semigroup of bounded linear operators on Banach spaces and its infinitesimal generator, as a generalization of regularized semigroups of operators. After some examples of such quasi-semigroups, the properties of this family of operators is studied. Also, some applications of regularized quasi-semigroups to abstract evolution equations are considered. Next, some elementary perturbation results on regularized quasi-semigroups are discussed.


47D60 \(C\)-semigroups, regularized semigroups
47D06 One-parameter semigroups and linear evolution equations
Full Text: DOI EuDML


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