6 citations · 14 across the 13 of their papers we have counts for
7 papers · 1 filter
Optimal control of a parabolic equation with a nonlocal nonlinearity
Cyrille Kenne, Landry Djomegne, Gisèle Mophou
This paper proposes an optimal control problem for a parabolic equation with a nonlocal nonlinearity. The system is described by a parabolic equation involving a nonlinear term tha…
Optimal control of a class of semilinear fractional elliptic equations
Cyrille Kenne, Gisèle Mophou, Mahamadi Warma
In this paper, a class of semilinear fractional elliptic equations associated to the spectral fractional Dirichlet Laplace operator is considered. We establish the existence of opt…
Stackelberg exact controllability of a class of nonlocal parabolic equations
Landry Djomegne, Cyrille Kenne
This paper deals with a multi-objective control problem for a class of nonlocal parabolic equations, where the non-locality is expressed through an integral kernel. We present the…
Second-order optimality conditions for the bilinear optimal control of a degenerate equation
Cyrille Kenne, Landry Djomegne, Pascal Zongo
The main purpose of this paper is the study of second-order optimality conditions for the bilinear control of a strongly degenerate parabolic equation. The equation is degenerate a…
Bilinear optimal control for a fractional diffusive equation
Gisèle Mophou, Cyrille Kenne, Mahamadi Warma
We consider a bilinear optimal control for an evolution equation involving the fractional Laplace operator of order . We first give some existence and uniqueness results for…
Hierarchical null controllability of a semilinear degenerate parabolic equation with a gradient term
Landry Djomegne, Cyrille Kenne, René Dorville +1
In this paper, we apply the hierarchical strategy to a semilinear weakly degenerate parabolic equation involving a gradient term. We use the Stackelberg-Nash strategy with one lead…
Stackelberg strategy on a degenerate parabolic equation with missing data
Landry Djomegne, Cyrille Kenne, Romario Gildas Foko Tiomela
This paper deals with the hierarchic control of a degenerate parabolic equation with missing initial condition. We present a Stackelberg strategy combining the concept of null cont…