Isoparametric and Subparametric Variational Problems.

Abstract

Let T be an operator defined on the subset U of a Banach space X determined by equality or inequality constraints for a finite number of functionals on X. The necessary conditions that the solution of the minimization problem must satisfy is determined. A case of particular interest is when T has values in L(infinity). Several examples in detail are analyzed to show how the necessary conditions yield detailed information about the solution. The notion of a t-point is introduced and how the information becomes complete at such a point is shown.

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1976
Accession Number
ADA031962

Entities

People

  • Stephen D. Fisher

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Analytic Functions
  • Banach Space
  • Convex Sets
  • Curvature
  • Equations
  • Geometric Forms
  • Geometry
  • Hypotheses
  • Inequalities
  • Lines (Geometry)
  • Mathematics
  • New York
  • North Carolina
  • Numbers
  • Real Numbers
  • Sequences
  • United States

Fields of Study

  • Mathematics

Readers

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

Technology Areas

  • Space