Volume 12, Number 3, July 2006
|Page(s)||442 - 465|
|Published online||20 June 2006|
Null controllability of the heat equation with boundary Fourier conditions: the linear case
Dpto. E.D.A.N., Universidad de Sevilla, Aptdo. 1160, 41080
Sevilla, Spain; firstname.lastname@example.org; email@example.com; firstname.lastname@example.org
2 Laboratoire Jacques-Louis Lions, Université Pierre et Marie Curie, boîte courrier 187, 75035 Cedex 05, Paris, France; email@example.com
3 Laboratoire de Mathématiques Appliquées, Université de Versailles, St. Quentin, 45 avenue des États-Unis, 78035 Versailles, France; firstname.lastname@example.org
Revised: 2 April 2005
In 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.
Mathematics Subject Classification: 35K20 / 93B05
Key words: Controllability / heat equation / Fourier conditions.
© EDP Sciences, SMAI, 2006
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