Fernández Cara, EnriqueLimaco Ferrel, JuanNina Huaman, DanyNúñez Chávez, Miguel R.2020-01-272020-01-272019-09Fernández Cara, E., Limaco Ferrel, J., Nina Huaman, D. y Núñez Chávez, M.R. (2019). Exact controllability to the trajectories for parabolic PDEs with nonlocal nonlinearities. Mathematics of Control, Signals, and Systems, 31 (3), 415-431.0932-41941435-568Xhttps://hdl.handle.net/11441/92324This paper deals with the analysis of the internal control of a parabolic PDE with nonlinear diffusion, nonlocal in space. In our main result, we prove the local exact controllability to the trajectories with distributed controls, locally supported in space. The main ingredients of the proof are a compactness-uniqueness argument and Kakutani’s Fixed-Point Theorem in a suitable functional setting. Some possible extensions and open problems concerning other nonlocal systems are presented.application/pdfengAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Nonlinear parabolic PDEExact controllability to the trajectoriesInternal controlinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccesshttps://doi.org/10.1007/s00498-019-00244-9