Mathematical Problems in Engineering

Volume 2009 (2009), Article ID 708516, 8 pages

doi:10.1155/2009/708516

## Interior Controllability of a Broad Class of Reaction Diffusion Equations

^{1}Departamento de Matemáticas, Universidad de Los Andes, Mérida 5101, Venezuela^{2}Departamento de Matemáticas, Universidad Simón Bolívar, Apartado Postal 89000, Caracas 1080 A, Venezuela

Received 4 December 2008; Revised 30 March 2009; Accepted 24 May 2009

Academic Editor: John Burns

Copyright © 2009 Hugo Leiva and Yamilet Quintana. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

#### Abstract

We prove the interior approximate controllability of the following broad class of reaction diffusion equation in the Hilbert spaces