Abstract. In this paper a class of semilinear elliptic optimal control problem with pointwise state and control constraints is studied. We show that sufficient second order optimality conditions for regularized problems with small regularization parameter can be obtained from a second order sufficient condition assumed for the unregularized problem. Moreover, error estimates with respect to the regularization parameter are derived. Key words. Optimal control, semilinear elliptic equation, state constraints, regularization, virtual control, second order sufficient conditions AMS subject classifications. 49K20, 49M29 1. Introduction. In this pape
This article deals with state constrained optimal control problem for semilinear elliptic equation i...
A semi-linear elliptic control problems with distributed control and pointwise inequality constraint...
A class of optimal control problems for quasilinear elliptic equations is considered, where the coef...
In this paper a class of semilinear elliptic optimal control problem with pointwise state and contro...
We develop sufficient optimality conditions for a Moreau-Yosida regularized optimal control problem ...
We develop sufficient optimality conditions for a Moreau-Yosida regularized optimal control problem ...
Abstract. The goal of this paper is to prove the first and second order optimality conditions for so...
Optimal control problems for semilinear elliptic equations with control constraints and pointwise st...
In this paper we consider a control problem governed by a semilinear elliptic equation with pointwis...
. In this paper we are concerned with some optimal control problems governed by semilinear elliptic ...
In this paper we study optimal control problems governed by semilinear parabolic equations where the...
Second-order sufficient optimality conditions are established for the optimal control of semilinear ...
We develop sufficient optimality conditions for a Moreau-Yosida regularized optimal control problem ...
Second-order sufficient optimality conditions are established for the optimal control of semilinear ...
This paper deals with a class ofoptimal control problems governed by elliptic equations with nonline...
This article deals with state constrained optimal control problem for semilinear elliptic equation i...
A semi-linear elliptic control problems with distributed control and pointwise inequality constraint...
A class of optimal control problems for quasilinear elliptic equations is considered, where the coef...
In this paper a class of semilinear elliptic optimal control problem with pointwise state and contro...
We develop sufficient optimality conditions for a Moreau-Yosida regularized optimal control problem ...
We develop sufficient optimality conditions for a Moreau-Yosida regularized optimal control problem ...
Abstract. The goal of this paper is to prove the first and second order optimality conditions for so...
Optimal control problems for semilinear elliptic equations with control constraints and pointwise st...
In this paper we consider a control problem governed by a semilinear elliptic equation with pointwis...
. In this paper we are concerned with some optimal control problems governed by semilinear elliptic ...
In this paper we study optimal control problems governed by semilinear parabolic equations where the...
Second-order sufficient optimality conditions are established for the optimal control of semilinear ...
We develop sufficient optimality conditions for a Moreau-Yosida regularized optimal control problem ...
Second-order sufficient optimality conditions are established for the optimal control of semilinear ...
This paper deals with a class ofoptimal control problems governed by elliptic equations with nonline...
This article deals with state constrained optimal control problem for semilinear elliptic equation i...
A semi-linear elliptic control problems with distributed control and pointwise inequality constraint...
A class of optimal control problems for quasilinear elliptic equations is considered, where the coef...