1 citations · 1 across the 4 of their papers we have counts for
7 papers
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…
Exponential Turnpike property for fractional parabolic equations with non-zero exterior data
Mahamadi Warma, Sebastian Zamorano
We consider averages convergence as the time-horizon goes to infinity of optimal solutions of time-dependent optimal control problems to optimal solutions of the corresponding stat…
The stability for an inverse problem of bottom recovering in water-waves
R. Lecaros, J. López-Ríos, J. H. Ortega +1
In this article we deal with a class of geometric inverse problem for bottom detection by one single measurement on the free surface in water--waves. We found upper and lower bound…
Controllability properties from the exterior under positivity constraints for a 1-D fractional heat equation
Harbir Antil, Umberto Biccari, Rodrigo Ponce +2
We study the controllability to trajectories, under positivity constraints on the control or the state, of a one-dimensional heat equation involving the fractional Laplace operator…
Exterior controllability properties of a nonlocal Moore--Gibson--Thompson equation
Carlos Lizama, M. Warma, Sebastian Zamorano
The three concepts of exact, null and approximate controllabilities are analyzed from the exterior of the Moore--Gibson--Thompson equation associated with the fractional Laplace op…
Null controllability from the exterior of a one-dimensional nonlocal heat equation
Mahamadi Warma, Sebastian Zamorano
We consider the null controllability problem from the exterior for the one dimensional heat equation on the interval associated with the fractional Laplace operator $(-\par…