2023-03-072023-03-072006-06-20Fernández Cara, E., González Burgos, M., Guerrero, S. y Puel, J. (2006). Null controllability of the heat equation with boundary Fourier conditions: the linear case. ESAIM. Control, optimisation and calculus of variations, 12 (3), 442-465. https://doi.org/10.1051/cocv:2006010.1292-81191262-3377https://hdl.handle.net/11441/143211In this paper, we prove the global null controllability of the linear heat equation completed with linear Fourier boundary conditions of the form . We consider distributed controls with support in a small set and nonregular coefficients . For the proof of null controllability, a crucial tool will be a new Carleman estimate for the weak solutions of the classical heat equation with nonhomogeneous Neumann boundary conditions.application/pdf23 p.spaAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Controllabilityheat equationFourier conditionsNull controllability of the heat equation with boundary Fourier conditions: the linear caseinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccess10.1051/cocv:2006010