3 papers
math.OC2026
Tracking controllability on moving targets for parabolic equations
Jone Apraiz, Jon Asier Bárcena-Petisco, Judit Muñoz-Matute
In this paper, we study the tracking controllability of a 1D parabolic-type equation. Notably, with controls acting on the boundary, we seek to approximately control the solution o…
math.AP2025
Uniqueness in determining multidimensional domains with unknown initial data
Jone Apraiz, Anna Doubova, Enrique Fernández-Cara +1
This paper addresses several geometric inverse problems for some linear parabolic systems where the initial data (and sometimes also the coefficients of the equations) are unknown.…
math.AP2020
Uniqueness and numerical reconstruction for inverse problems dealing wit interval size search
J. Apraiz, J. Cheng, A. Doubova +2
We consider a heat equation and a wave equation in a spatial interval over a time interval. This article deals with inverse problems of determining sizes of spatial intervals by ex…