This paper deals with the optimal control problems of systems governed by a parabolic variational inequality coupled with a semilinear parabolic differential equations. The maximum principle and some kind of approxima...This paper deals with the optimal control problems of systems governed by a parabolic variational inequality coupled with a semilinear parabolic differential equations. The maximum principle and some kind of approximate controllability are studied.展开更多
This paper is concerned with some nonlinear heat equations with initial condition and anti-periodic boundary condition. Also some two-point value nonlinear heat equations with anti-periodic boundary condition are disc...This paper is concerned with some nonlinear heat equations with initial condition and anti-periodic boundary condition. Also some two-point value nonlinear heat equations with anti-periodic boundary condition are discussed. The existence and uniqueness of the solutions are given. Some asymptotic behaviors of the solutions are studied.展开更多
This paper deals with optimal control problem of parabolic differential equation with two point boundary conditions tin the time variable). The results here extend those in [3] on optimal control of the heat equations...This paper deals with optimal control problem of parabolic differential equation with two point boundary conditions tin the time variable). The results here extend those in [3] on optimal control of the heat equations. Moreover, the technique used in this paper is based on some smooth approximations of 'tangent cones' in the sense of Clarke and some maximal monotone operators.展开更多
This paper deals with maximum principle for some optimal control problem governed by some elliptic variational inequalities. Some state constraints are discussed. The basic techniques used here are based on those in [...This paper deals with maximum principle for some optimal control problem governed by some elliptic variational inequalities. Some state constraints are discussed. The basic techniques used here are based on those in [1] and a new penalty functional defined in this paper.展开更多
基金This work was partially supported by the NutionalNatural Science Foundation of China
文摘This paper deals with the optimal control problems of systems governed by a parabolic variational inequality coupled with a semilinear parabolic differential equations. The maximum principle and some kind of approximate controllability are studied.
文摘This paper is concerned with some nonlinear heat equations with initial condition and anti-periodic boundary condition. Also some two-point value nonlinear heat equations with anti-periodic boundary condition are discussed. The existence and uniqueness of the solutions are given. Some asymptotic behaviors of the solutions are studied.
文摘This paper deals with optimal control problem of parabolic differential equation with two point boundary conditions tin the time variable). The results here extend those in [3] on optimal control of the heat equations. Moreover, the technique used in this paper is based on some smooth approximations of 'tangent cones' in the sense of Clarke and some maximal monotone operators.
文摘This paper deals with maximum principle for some optimal control problem governed by some elliptic variational inequalities. Some state constraints are discussed. The basic techniques used here are based on those in [1] and a new penalty functional defined in this paper.
