# American Institute of Mathematical Sciences

December  2014, 4(4): 465-479. doi: 10.3934/mcrf.2014.4.465

## Controllability of fast diffusion coupled parabolic systems

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

Received  March 2013 Revised  October 2013 Published  September 2014

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.
Citation: Felipe Wallison Chaves-Silva, Sergio Guerrero, Jean Pierre Puel. Controllability of fast diffusion coupled parabolic systems. Mathematical Control & Related Fields, 2014, 4 (4) : 465-479. doi: 10.3934/mcrf.2014.4.465
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