Development Of Optimal Control Problems Of Elliptical Equations

In this paper,we will summarize the optimal control problems of elliptic equations. it includes optimal control of linear elliptic equations, optimal control of nonlinear elliptic equations, Pontryagin' s principle for optimal control of nonlinear elliptic equations and second order conditions for optimal control of nonlinear elliptic equations. Here, we list the main results, for the readers can have a preliminary comprehension about this problems.