Accession Number : AD0743796
Title : A Generalized Domain for Semigroup Generators.
Descriptive Note : Technical summary rept.,
Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
Personal Author(s) : Crandall,Michael G.
Report Date : FEB 1972
Pagination or Media Count : 14
Abstract : A generalized domain D(A) is assigned to a certain class of generators A of semigroups of nonlinear transformations S on Banach spaces. D(A) is then characterized in two ways. 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. (Author)
Descriptors : (*FUNCTIONAL ANALYSIS, GROUPS(MATHEMATICS)), TRANSFORMATIONS(MATHEMATICS), BANACH SPACE, NONLINEAR SYSTEMS, CAUCHY PROBLEM, THEOREMS
Subject Categories : Theoretical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE