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2009, 2009(Special): 143-150. doi: 10.3934/proc.2009.2009.143

On the minimal time null controllability of the heat equation

Ovidiu Cârjă 1, and  Alina Lazu 2,

1. 

Department of Mathematics, " Al. I. Cuza" University, Iaşi, 700506, Romania
2. 

Department of Mathematics, "Gh. Asachi" Technical University, Iaşi, 700506, Romania

Received  June 2008 Revised  May 2009 Published  September 2009

We show that the heat equation modelled as $y'=Ay+u$ in $L^1(\Omega)$ is null controllable by controls in $L^{\infty}(0,T;L^p(\Omega))$ with $1< p<\infty$. Moreover, the corresponding minimal time function is Hölder continuous.
Keywords: Null controllability, minimal time function, heat equation.
Mathematics Subject Classification: Primary: 93B05, 49K15; Secondary: 34H05.
Citation: Ovidiu Cârjă, Alina Lazu. On the minimal time null controllability of the heat equation. Conference Publications, 2009, 2009 (Special) : 143-150. doi: 10.3934/proc.2009.2009.143
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