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