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Abstract
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Abstract and Applied Analysis
Volume 2003 (2003), Issue 14, Pages 793-811
doi:10.1155/S1085337503303033

Local exact controllability of the diffusion equation in one dimension

Marius Beceanu

Department of Mathematics, Princeton University, Princeton 0544, NJ, USA

Abstract

This paper establishes the local exact null controllability of the diffusion equation in one dimension using distributed controls in the case of the Dirichlet boundary value problem. Most of the techniques used in the course of the proof are borrowed from Barbu (2002).