On the minimal time null controllability of the heat equation

Pages: 143 - 150, Issue Special, September 2009

 Abstract        Full Text (151.7K)              

Ovidiu Cârjă - Department of Mathematics, " Al. I. Cuza" University, Iaşi, 700506, Romania (email)
Alina Lazu - Department of Mathematics, "Gh. Asachi" Technical University, Iaşi, 700506, Romania (email)

Abstract: 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

Received: June 2008;      Revised: May 2009;      Published: September 2009.