Volume 20, Number 1, January-March 2014
|Page(s)||222 - 235|
|Published online||27 January 2014|
Exact null internal controllability for the heat equation on unbounded convex domains∗
Al.I. Cuza University and Octav Mayer Institute of Mathematics
(Romanian Academy), Iaşi, Romania
Received: 22 January 2013
Revised: 3 April 2013
The liner parabolic equation with Neumann boundary condition on a convex open domain 𝒪 ⊂ ℝd with smooth boundary is exactly null controllable on each finite interval if 𝒪0 is an open subset of 𝒪 which contains a suitable neighbourhood of the recession cone of . Here, F : ℝd → ℝd is a bounded, C1-continuous function, and F = ∇g, where g is convex and coercive.
Mathematics Subject Classification: 93B07 / 35K50 / 47D07
Key words: Parabolic equation / null controllability / convex set / Carleman inequality
© EDP Sciences, SMAI, 2014
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.