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Unsolved Problems in Mathematical Systems and Control Theory by Vincent D. Blondel, Alexandre Megretski

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Problem 5.3

Null-controllability of the heat equation

in unbounded domains

Sorin Micu

Facultatea de Matematic16921-Informatica

Universitatea din Craiova

Al. I. Cuza 13, Craiova, 1100

Romania

sd micu@yahoo.com

Enrique Zuazua

Departamento de Matemáticas, Facultad de Ciencias

Universidad Autónoma

Cantoblanco, 28049, Madrid

Spain

enrique.zuazua@uam.es

1 DESCRIPTION OF THE PROBLEM

-1743744915

2 MOTIVATION AND HISTORY OF THE PROBLEM

We begin with the following well-known result

Theorem 1. When is a bounded domain of class C2 system (1) is null-controllable for any ...

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