5 papers · 2 filters
Existence, Stability and Controllability of the parabolic-parabolic thermistor model
Miguel R. Nuñez-Chávez, Luis P. Yapu, Juan Límaco
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…
Local controllability of free boundary three-dimensional semilinear radial parabolic equations
Juan Límaco, Luis P. Yapu
We prove that a free boundary semilinear heat equation with Stefan boundary condition and radially symmetric data is locally null controllable. The strategy involves reducing the p…
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…