Controllability of  fast diffusion coupled parabolic systems

Felipe Wallison Chaves-Silva; Sergio Guerrero; Jean Pierre Puel

doi:10.3934/mcrf.2014.4.465

Article Contents

2014, Volume 4, Issue 4: 465-479. Doi: 10.3934/mcrf.2014.4.465

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Controllability of fast diffusion coupled parabolic systems

1.
BCAM - Basque Center for Applied Mathematics, Mazarredo 14, E-48009 Bilbao, Basque Country
2.
Laboratoire Jacques-Louis Lions, Université Pierre et Marie Curie - Paris 6, Boîte Corrier 187, F-75252, Paris Cedex 05
3.
Laboratoire de Mathématiques de Versailles, Université de Versailles - St. Quentin, 45 Avenue des Etats Unis, 78035 Versailles

Received: February 28, 2013

Revised: September 30, 2013

Published: November 2014

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Abstract

In this work we are concerned with the null controllability of coupled parabolic systems depending on a parameter and converging to a parabolic-elliptic system. We show the uniform null controllability of the family of coupled parabolic systems with respect to the degenerating parameter.

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Mathematics Subject Classification: Primary: 35K65, 93B05; Secondary: 93B05.

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References

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