10 papers · 1 filter
Hierarchical local null controllability for a non-degenerate quasi-linear parabolic system
Cristian Loli, George J. Bautista, Juan Limaco +3
In this manuscript, we are concerned with the hierarchical control of a non-degenerate quasi-linear parabolic system, posed on a bounded interval. We use the Stackelberg-Nash strat…
Decay of solutions and bilinear control to trajectories of a 1D degenerate parabolic system
Alfredo S. Gamboa, André Da Rocha Lopes, Luis P. Yapu
This paper is concerned with the decay of solutions and the analysis of the local and global exact controllability to trajectories for a class of one-dimensional nonlinear paraboli…
Bilinear control to trajectories of 1D degenerate parabolic equations in moving domains
Alfredo S. Gamboa, André da Rocha Lopes, Luis P. Yapu
In this paper, we are concerned with local controllability properties of degenerate parabolic equations in bounded domains that evolve in time. More precisely, we deal with the exa…
Nash-Stackelberg controllability for coupled systems of degenerate equations in non-cylindrical domains
Alfredo S. Gamboa, Juan Limaco, Luis P. Yapu
In this paper we investigate the Hierarchical null controllability of a coupled degenerate semilinear parabolic equation in domains which are moving in time. We show the local null…
Existence, Stability and Controllability of the parabolic-parabolic thermistor model
Miguel R. Nuñez-Chávez, Luis P. Yapu, Juan LÃmaco
In this article we establish the well-posedness, energy estimates, stability, and local null controllability for the thermistor system modeled by a parabolic-parabolic system using…
Controllability of a Semilinear System of Parabolic Equations with Nonlocal Terms
Juan Limaco, Rafael Martins Lobosco, Luis P. Yapu
This paper extends our previous controllability results for a class of coupled linear parabolic systems with nonlocal interactions, motivated by applications in finance such as gen…