Some controllability results for the 2D Kolmogorov equation

Beauchard K, Zuazua E (2009)

Publication Type: Journal article

Publication year: 2009

Journal

Annales de l'Institut Henri Poincaré - Analyse Non Linéaire Elsevier Masson / Institute Henri Poincaré

Book Volume: 26

Pages Range: 1793-1815

Journal Issue: 5

DOI: 10.1016/j.anihpc.2008.12.005

Abstract

In this article, we prove the null controllability of the 2D Kolmogorov equation both in the whole space and in the square. The control is a source term in the right-hand side of the equation, located on a subdomain, that acts linearly on the state. In the first case, it is the complementary of a strip with axis x and in the second one, it is a strip with axis x.

Authors with CRIS profile

Enrique Zuazua Iriondo

Involved external institutions

National Center for Scientific Research / Centre national de la recherche scientifique (CNRS) FR France (FR) Basque Center of Applied Mathematics (BCAM) ES Spain (ES)

How to cite

APA:

Beauchard, K., & Zuazua, E. (2009). Some controllability results for the 2D Kolmogorov equation. Annales de l'Institut Henri Poincaré - Analyse Non Linéaire, 26(5), 1793-1815. https://dx.doi.org/10.1016/j.anihpc.2008.12.005

MLA:

Beauchard, K., and Enrique Zuazua. "Some controllability results for the 2D Kolmogorov equation." Annales de l'Institut Henri Poincaré - Analyse Non Linéaire 26.5 (2009): 1793-1815.

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