11 citations · 23 across the 10 of their papers we have counts for
10 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…
An inverse problem for Moore-Gibson-Thompson equation arising in high intensity ultrasound
Rogelio Arancibia, Rodrigo Lecaros, Alberto Mercado +1
In this article we study the inverse problem of recovering a space-dependent coefficient of the Moore-Gibson-Thompson (MGT) equation, from knowledge of the trace of the solution on…
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…
Analysis of the controllability from the exterior of strong damping nonlocal wave equations
Mahamadi Warma, Sebastian Zamorano
We make a complete analysis of the controllability properties from the exterior of the (possible) strong damping wave equation with the fractional Laplace operator subject to the n…
The Turnpike Property for Two-Dimensional Navier-Stokes Equations
S. Zamorano
This paper is devoted to the study of the turnpike phenomenon arising in the optimal distributed control tracking-type problem for the Navier-Stokes equations. We obtain a positive…
Size estimates of an obstacle in a stationary Stokes fluid
E. Beretta, C. Cavaterra, J. H. Ortega +1
In this work we are interested in estimating the size of a cavity D immersed in a bounded domain Ω, contained in R^d, d=2,3, filled with a viscous fluid governed by the Stokes syst…