Fernández Cara, EnriqueGonzález Burgos, ManuelGuerrero Rodríguez, SergioPuel, Jean-Pierre2016-05-202016-05-202006-07Fernández 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), 442-465.1292-81191262-3377http://hdl.handle.net/11441/41437In this paper, we prove the global null controllability of the linear heat equation completed with linear Fourier boundary conditions of the form ∂y ∂n + β y = 0. We consider distributed controls with support in a small set and nonregular coefficients β = β(x, t). 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/pdfengAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Controllabilityheat equationFourier conditionsinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccesshttps://doi.org/10.1051/cocv:2006010