9 citations · 9 across the 3 of their papers we have counts for
4 papers
Local null controllability of a quasi-linear system and related numerical experiments
Enrique Fernández-Cara, Juan Límaco, Yuri Thamsten +1
This paper concerns the null control of quasi-linear parabolic systems where the diffusion coefficient depends on the gradient of the state variable. In our main theoretical result…
Optimal control of a class of nonlinear heat conduction models
Denilson Menezes, Juan Límaco
We study an optimal control problem for a quasilinear parabolic equation modeling nonlinear heat conduction during heat treatment of metals. Under general assumptions, we prove exi…
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…
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…