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

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.

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1976
Accession Number
ADA023943

Entities

People

  • Allan M. Krall
  • Richard C. Brown

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Value Problems
  • Coefficients
  • Differential Equations
  • Equations
  • Mathematical Analysis

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Mathematical Modeling and Probability Theory.