AN EXAMPLE OF A MAX-MIN PROBLEM IN PARTIAL DIFFERENTIAL EQUATIONS,

Abstract

The paper studies a 'Max-min' problem. Solving explicitly the 'min problem,' the original problem can be stated as a control problem. The state equation is a partial differential equation and the control appears only in the coefficients of the state equation. Existence and uniqueness (in a suitable sense) of 'an optimal problem' is proved and a convergent iterative method is given to compute the solution.

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1969
Accession Number
AD0684826

Entities

People

  • Jean Cea
  • Kasimierz Malanowski

Organizations

  • University of California, Los Angeles

Tags

DTIC Thesaurus Topics

  • Coefficients
  • Differential Equations
  • Equations
  • Equations Of State
  • Partial Differential Equations

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Operations Research