Postdoctoral Researcher

My research interests include Control and stabilization, Inverse problems, Partial Differential Equations

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

  • Mercado, A., & Morales, R. Exact controllability for a Schrödinger equation with dynamic boundary conditions. SIAM Journal on Control and Optimization, 61(6), 3501-3525. (2023) https://doi.org/10.1137/21M143940
  • Lecaros, R., Morales, R., Pérez, A., & Zamorano, S. Discrete Carleman estimates and application to controllability for a fully-discrete parabolic operator with dynamic boundary conditions. Journal of Differential Equations, 365, 832-881. (2023) https://doi.org/10.1016/j.jde.2023.05.014
  • Dardé, J., Ervedoza, S., & Morales, R. Uniform null controllability for parabolic equations with discontinuous diffusion coefficients. ESAIM: COCV, Volume 27. Special issue in the honor of Enrique Zuazua's 60th birthday. (2021) https://www.esaim-cocv.org/articles/cocv/pdf/2021/02/cocv200224.pdf
  • Carreño, N., Morales, R., & Osses, A. Potential reconstruction for a class of hyperbolic systems from incomplete measurements. Inverse Problems. Volume 34, Number 8. (2018) https://iopscience.iop.org/article/10.1088/1361-6420/aac6a9/meta
  • 16.05.2025. DeustoCCM seminar: Controllability on some PDEs with dynamic boundary conditions, University of Deusto (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).
Meet our team!