Abstract
We describe a method for characterizing the domains of generators of semigroups enjoying suitable smoothing properties. Among the applications, such a method allows to prove new Schauder type theorems for elliptic equations in ℝn and for parabolic equations in [0,T] x ℝn.
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Communicated by R. Nagel
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Lunardi, A. An interpolation method to characterize domains of generators of semigroups. Semigroup Forum 53, 321–329 (1996). https://doi.org/10.1007/BF02574147
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DOI: https://doi.org/10.1007/BF02574147