5 papers
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…
Stackelberg-Nash strategy for the null controllability of semilinear degenerate equations in non-cylindrical domains
Alfredo S. Gamboa, Juan Limaco, Luis P. Yapu
In this paper we use a Stackelberg-Nash strategy to show the local null controllability of a semilinear parabolic equation in one-dimension defined in a non-cylindrical domain wher…
Controllability of a system of non-autonomous degenerate coupled parabolic equations
Alfredo S. Gamboa, Juan Limaco, Luis P. Yapu
We prove a Carleman estimate for a one-dimensional parabolic equation which degenerates at one extremity of the domain and has a bounded, time dependent coefficient multiplying the…