12 citations · 13 across the 5 of their papers we have counts for
6 papers
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…
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.…
Inverse problems for one-dimensional fluid-solid interaction models
J. Apraiz, A. Doubova, E. Fernández-Cara +1
We consider a one-dimensional fluid-solid interaction model governed by the Burgers equation with a time varying interface. We discuss on the inverse problem of determining the sha…
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…
Observability Inequalities and Measurable Sets
J. Apraiz, L. Escauriaza, G. Wang +1
This paper presents two observability inequalities for the heat equation over . In the first one, the observation is from a subset of positive measure in $Ω\times(0,T…
Null-Control and Measurable Sets
J. Apraiz, L. Escauriaza
We prove the interior and boundary null-controllability of some parabolic evolutions with controls acting over measurable sets.