## Differential and Integral Equations

### Local exact controllability of a reaction-diffusion system

#### Abstract

The local exact controllability of a reaction--diffusion system with homogeneous Neumann boundary conditions is studied. The methods we use combine the Schauder--Kakutani fixed point theorem, Carleman estimates for the backward adjoint linearized system and some estimates in the theory of parabolic boundary value problems in $L^k.$

#### Article information

Source
Differential Integral Equations, Volume 14, Number 5 (2001), 577-587.

Dates
First available in Project Euclid: 21 December 2012

https://projecteuclid.org/euclid.die/1356123257

Mathematical Reviews number (MathSciNet)
MR1824744

Zentralblatt MATH identifier
1013.93028

#### Citation

Aniţa, Sebastian; Barbu, Viorel. Local exact controllability of a reaction-diffusion system. Differential Integral Equations 14 (2001), no. 5, 577--587. https://projecteuclid.org/euclid.die/1356123257