Accession Number:

ADA023943

Title:

On Minimizing the Sum of Squares of Functional Vector Norms of Differential Operators Under Constraints.

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

Report Date:

1976-02-01

Pagination or Media Count:

27.0

Abstract:

This paper considers the problem of minimizing the sum of squares of functional vector norms of differential operators under a general class of constraints. Several sufficient conditions are given for the existence of a solution. The minimization problem is shown to involve the adjoint of a naturally defined differential system with matrix coefficients. The minimizing function is characterized as the solution of a boundary value problem, in terms of the differential operator, and also the adjoint boundary value problem.

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE