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.
Descriptors:
Subject Categories:
- Theoretical Mathematics