On Regularized Quasi-Semigroups and Evolution Equations

Abstract EN

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 will be studied.

Also some applications of regularized quasi-semigroups in the abstract evolution equations will be considered.

Next some elementary perturbation results on regularized quasi-semigroups will be discussed.