Roberto Morales
Email
My research interests include Control and stabilization, Inverse problems, Partial Differential Equations
Postdoctoral Researcher
University of Deusto
Personal site | ORCID | Google Scholar
I obtained my PhD in Engineering Sciences, mention in Mathematical Modelling, at University of Chile in 2019. My research topics are mainly Inverse Problems and Controllability issues for PDEs, especially those where a dynamic boundary condition is considered.
• PhD in Engineering Sciences (2019) mention in Mathematical Modelling, University of Chile, Chile
• Bachelor in Mathematics (2011) University of Santiago de Chile, Chile
Research interests
My research interests include
• Control and stabilization,
• Inverse problems,
• Partial Differential Equations
Publications
2026
- Morales, R., Santos, M. C., & Carreño, N. (2026). Insensitizing the tangential gradient for reaction–diffusion equations with dynamic boundary conditions. Journal of Optimization Theory and Applications, 208(1), 55.
2025
- Morales, R. (2025). SHAP values through general Fourier representations: theory and applications. (Unpublished, Submitted). arXiv: 2511.00185
- Chorfi, S., Hasanov, A., & Morales, R. (2025). Identification of source terms in the Schrödinger equation with dynamic boundary conditions from final data. Z. Angew. Math. Phys., 76(3), 22. https://doi.org/10.1007/s00033-025-02505-x
- Carreño, N., Mercado, A., & Morales, R. (2025). Local null controllability of a cubic Ginzburg-Landau equation with dynamic boundary conditions. J. Evol. Equ., 25(3), 31. https://doi.org/10.1007/s00028-025-01089-3
- Morales, R. & Ram\’\irez-Ganga, J. (2025). Identification of Source Terms in the Ginzburg-Landau Equation from Final Data. (Unpublished, Submitted). arXiv: 2511.07345
- Morales, R. & Biccari, U. (2025). A Multi-Objective Optimization framework for Decentralized Learning with coordination constraints. (Unpublished, Submitted). arXiv: 2507.13983
- Chorfi, S., Maniar, L., & Morales, R. (2025). Controllability and Inverse Problems for Hyperbolic and Dispersive Equations with Dynamic Boundary Conditions. (Unpublished, Submitted). arXiv: 2505.14795
- Carrillo, H., Mercado, A., & Morales, R. (2025). Simultaneous reconstruction of two potentials for a nonconservative Schrödinger equation with dynamic boundary conditions. (Unpublished, Submitted). arXiv: 2502.02758
2024
- Fernandez-Cara, E., Morales, R., & Souza, D. A. (2024). Numerical null controllability of parabolic PDEs using Lagrangian methods. (Unpublished, Submitted). arXiv: 2411.14031
- Santos, M. C., Carreño, N., & Morales, R. (2024). An Insensitizing control problem involving tangential gradient terms for a reaction-diffusion equation with dynamic boundary conditions. (Unpublished, Submitted). arXiv: 2407.09882
2023
- Mercado, A. & Morales, R. (2023). Exact controllability for a Schrödinger equation with dynamic boundary conditions. SIAM J. Control Optim., 61(6), 3501–3525. https://doi.org/10.1137/21M1439407
- Lecaros, R., Morales, R., Pérez, A., & Zamorano, S. (2023). Discrete Carleman estimates and application to controllability for a fully-discrete parabolic operator with dynamic boundary conditions. J. Differ. Equations, 365, 832–881. https://doi.org/10.1016/j.jde.2023.05.014
2021
- Dardé, J., Ervedoza, S., & Morales, R. (2021). Uniform null controllability for parabolic equations with discontinuous diffusion coefficients. ESAIM, Control Optim. Calc. Var., 27, 29. https://doi.org/10.1051/cocv/2021063
2018
- Carreño, N., Morales, R., & Osses, A. (2018). Potential reconstruction for a class of hyperbolic systems from incomplete measurements. Inverse Probl., 34(8), 18. https://doi.org/10.1088/1361-6420/aac6a9
Projects
• CoDeFeL: Control and Deep and Federated Learning. ERC Advanced PI: Enrique Zuazua (2024 – 2029)
News
• 01-02.12.2025 A multi-objective optimization framework for decentralized learning with coordination constraints, COPI2A 3rd. meeting, PDF Slides
• 16.05.2025. DeustoCCM seminar: Controllability on some PDEs with dynamic boundary conditions, University of Deusto, PDF Slides
• 19.12.2024 An Insensitizing control problem involving tangential gradient terms for a reaction-diffusion equation with dynamic boundary conditions. 2nd International Conference “Mathematics and Decision”. Rabat, Morocco.
• 27.08.2024 Carleman estimates for a Schrödinger equation with dynamic boundary conditions and applications. X Partial differential equations, optimal design and numerics. Benasque, Spain.
• 23.10.2024 Null controllability of parabolic PDE’s: Some numerical aspects. VIII Jornada Internacional de Ecuaciones Diferenciales y Aplicaciones. Lima, Perú (Online).
• 16.07.2024 Inverse problems and controllability issues for the Schrödinger equation with dynamic boundary conditions. 9th European Congress of Mathematics. Sevilla, Spain.
• 21.10.2021 Uniform null controllability for parabolic equations with discontinuous diffusion coefficients. V Jornada Internacional de Ecuaciones Diferenciales y Aplicaciones. Lima, Perú (Online).