An Example of a Max-Min Problem in Partial Differential Equations

摘要

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.