Exact null internal controllability for the heat equation on unbounded convex domains
ESAIM: Control, Optimisation and Calculus of Variations, Tome 20 (2014) no. 1, pp. 222-235.

The linear parabolic equation y t - 1 2 Δ y + F · y = 1 𝒪 0 u with Neumann boundary condition on a convex open domain 𝒪 d with smooth boundary is exactly null controllable on each finite interval if 𝒪 0 is an open subset of 𝒪 which contains a suitable neighbourhood of the recession cone of 𝒪 ¯ . Here, F : d d is a bounded, C 1 -continuous function, and F = g where g is convex and coercive.

DOI : 10.1051/cocv/2013062
Classification : 93B07, 35K50, 47D07
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Barbu, Viorel. Exact null internal controllability for the heat equation on unbounded convex domains. ESAIM: Control, Optimisation and Calculus of Variations, Tome 20 (2014) no. 1, pp. 222-235. doi : 10.1051/cocv/2013062. http://www.numdam.org/articles/10.1051/cocv/2013062/

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