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:

1972-02-01

Pagination or Media Count:

14.0

Abstract:

A generalized domain DA is assigned to a certain class of generators A of semigroups of nonlinear transformations S on Banach spaces. DA is then characterized in two ways. DA is the set of x such that Stx 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