5 papers
Controllability and Inverse Problems for Hyperbolic and Dispersive Equations with Dynamic Boundary Conditions
S. E. Chorfi, L. Maniar, R. Morales
This review examines classical and recent results on controllability and inverse problems for hyperbolic and dispersive equations with dynamic boundary conditions. We aim to illust…
Numerical null controllability of parabolic PDEs using Lagrangian methods
Enrique Fernandez-Cara, Roberto Morales, Diego A. Souza
In this paper, we study several theoretical and numerical questions concerning the null controllability problems for linear parabolic equations and systems for several dimensions.…
Exact Controllability for a Schrödinger equation with dynamic boundary conditions
Alberto Mercado, Roberto Morales
In this paper, we study the controllability of a Schrödinger equation with mixed boundary conditions on disjoint subsets of the boundary: dynamic boundary condition of Wentzell typ…
Local null controllability of a cubic Ginzburg-Landau equation with dynamic boundary conditions
Nicolás Carreño, Alberto Mercado, Roberto Morales
This paper deals with controllability properties of a cubic Ginzburg-Landau equation with dynamic boundary conditions. More precisely, we prove a local null controllability result…
Discrete Carleman estimates and application to controllability for a fully-discrete parabolic operator with dynamic boundary conditions
Rodrigo Lecaros, Roberto Morales, Ariel Pérez +1
We consider a fully-discrete approximations of 1-D heat equation with dynamic boundary conditions for which we provide a controllability result. The proof of this result is based o…