Published/Accepted

7. Carleman estimate for semi-discrete stochastic parabolic operators in arbitrary dimension and applications to controllability

Applied Mathematics and Optimization, 2026,  with R. Lecaros and M. F. Prado. (ArXiv-Journal)

6. Lipschitz stability and reconstruction  in inverse problems for semi-discrete parabolic operators. 

Inverse Problems, 2025,  with R. Lecaros and J. López-Ríos. (ArXiv-Journal)

5. On the unique continuation property for the two-dimensional sloshing problem. 

Zeitschrift für angewandte Mathematik und Physik, 2025, with M. A. Fontelos, R. Lecaros, J. López-Ríos. (ArXiv-Journal)

4. Discrete Carleman estimates and application to controllability for a fully-discrete parabolic operator with dynamic boundary conditions. 

Journal of Differential Equations, 2023, with R. Lecaros, R. Morales and S. Zamorano. (ArXiv-Journal)

3. Discrete Calderón problem with partial data. 

Inverse Problems, 2023, with R. Lecaros, J. H. Ortega and L. de Teresa. (Journal)

2. Carleman estimates and controllability for a semi-discrete fourth-order parabolic equation. 

Journal de Mathématiques Pures et Appliqués , 2022, with E. Cerpa, R. Lecaros, and T.N.T Nguyen. (Journal)

1. Stability estimate for the semi-discrete linearized Benjamin-Bona-Mahony equation. 

ESAIM Control Optimisation and Calculus of Variations, 2021, with R. Lecaros, J. H. Ortega. (Journal)

Submitted

• Asymptotic behavior of Carleman weight functions and application to controllability, (2025). (ArXiv)

• Inverse Random Source and Cauchy Problems for Semi-Discrete Stochastic Parabolic Equations in Arbitrary Dimensions, 2025,  with R. Lecaros and M. F. Prado. (ArXiv)

• Controllability for semi-discrete semilinear stochastic parabolic operators, 2026, with R. Lecaros and M. F. Prado. (ArXiv)