Regularity issues for the null-controllability of the linear 1-d heat equation

Micu S, Zuazua E (2011)

Publication Type: Journal article

Publication year: 2011

Journal

Systems & Control Letters Elsevier

Book Volume: 60

Pages Range: 406-413

Journal Issue: 6

DOI: 10.1016/j.sysconle.2011.03.005

Abstract

The fact that the heat equation is controllable to zero in any bounded domain of the Euclidean space, any time T > 0 and from any open subset of the boundary is well known. On the other hand, numerical experiments show the ill-posedness of the problem. In this paper we develop a rigorous analysis of the 1-d problem which provides a sharp description of this ill-posedness.

Authors with CRIS profile

Enrique Zuazua Iriondo

Involved external institutions

University of Craiova RO Romania (RO) Basque Center of Applied Mathematics (BCAM) ES Spain (ES)

How to cite

APA:

Micu, S., & Zuazua, E. (2011). Regularity issues for the null-controllability of the linear 1-d heat equation. Systems & Control Letters, 60(6), 406-413. https://dx.doi.org/10.1016/j.sysconle.2011.03.005

MLA:

Micu, Sorin, and Enrique Zuazua. "Regularity issues for the null-controllability of the linear 1-d heat equation." Systems & Control Letters 60.6 (2011): 406-413.

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