3 papers
math.AP2025
Lipschitz stability and reconstruction in inverse problems for semi-discrete parabolic operators
Rodrigo Lecaros, Juan López-Ríos, Ariel A. Pérez
This work addresses an inverse problem for a semi-discrete parabolic equation, consisting of identifying the right-hand side of the equation from solution measurements at an interm…
math.AP2024
Controllability for a non-local formulation of surface gravity waves
M. A. Fontelos, R. Lecaros, J. López-Ríos +1
In this paper, we study the approximate controllability of a system governed by an evolution problem known as the sloshing problem. This problem involves a spatial, nonlocal differ…
math.AP2020
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…