A Generalized Domain for Semigroup Generators

Michael G. Crandall

Type: Article

Publication Date: 1973-02-01

Citations: 19

DOI: https://doi.org/10.2307/2039457

Abstract

A generalized domain $\hat D(A)$ is assigned to a certain class of generators A of semigroups of nonlinear transformations S on Banach spaces. $\hat D(A)$ is then characterized in two ways. $\hat D(A)$ is the set of x such that $S(t)x$ is locally Lipschitz continuous in t or, equivalently, the set of x which can lie in the domain of suitable extensions of A.

Locations

Proceedings of the American Mathematical Society - View - PDF

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