On the Solution of a Constrained Minimization Problem in H'Omega Related to Density Estimation.

Abstract

In this paper we study the problem of the minimization of the Dirichlet integral over a two-dimensional domain, by non-negative functions satisfying a finite number of linear constraints. Existence and uniqueness of the solution is provded. A characterization by variational inequality is given, leading to local and boundary behaviour of the solution. This characterization is of importance in the construction of numerical algorithms for the production of non-negative smooth surfaces from aggregated data. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1981
Accession Number
ADA103874

Entities

People

  • Nira Dyn
  • Wing Hung Wong

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Banach Space
  • Boundaries
  • Calculus Of Variations
  • Contracts
  • Convergence
  • Convex Sets
  • Differential Equations
  • Equations
  • Euler Equations
  • Inequalities
  • Mathematical Analysis
  • Mathematics
  • Production
  • Theorems
  • United States
  • Universities
  • Wisconsin

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Statistical inference.