Notes on the Propagators of Evolution Equations
نویسندگان
چکیده
gives rise to a well-defined propagator, which is a semigroup of linear operators, and the theory of semigroups of linear operators on Banach spaces has developed quite rapidly since the discovery of the generation theorem byHille and Yosida in 1948. By now, it is a rich theory with substantial applications to many fields cf., e.g., 1–6 . In this paper, we pay attention to some basic problems on the semigroups of linear operators and reveal some essential properties of theirs. Let X be a Banach space.
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