On the minimal time null controllability of the heat equation

Ovidiu Cârjă; Alina Lazu

doi:10.3934/proc.2009.2009.143

Article Contents

2009, Volume 2009: 143-150. Doi: 10.3934/proc.2009.2009.143 open access

This issue Previous Article Some abstract critical point theorems and applications Next Article A local min-orthogonal method for multiple solutions of strongly coupled elliptic systems

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
2.
Department of Mathematics, "Gh. Asachi" Technical University, Iaşi, 700506

Received: June 2008

Revised: May 2009

Published: August 2009

Abstract Related Papers Cited by

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:

Mathematics Subject Classification: Primary: 93B05, 49K15; Secondary: 34H05.

Citation:

Article Metrics

HTML views() PDF downloads(72) Cited by(0)

On the minimal time null controllability of the heat equation

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

On the minimal time null controllability of the heat equation

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content