Abstract
We introduce a new class of weakly continuous semigroups and give a characterization of their infinitesimal generators, generalizing the classical Hille-Yosida Theorem for strongly continuous semigroups. The results are illustrated by the example of transition semigroups corresponding to the solutions of certain stochastic differential equations.
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Communicated by R. Nagel
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Cerrai, S. A Hille-Yosida theorem for weakly continuous semigroups. Semigroup Forum 49, 349–367 (1994). https://doi.org/10.1007/BF02573496
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DOI: https://doi.org/10.1007/BF02573496