Differential and Integral Equations

Local exact controllability of a reaction-diffusion system

Sebastian Aniţa and Viorel Barbu

Full-text: Open access

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

Permanent link to this document
https://projecteuclid.org/euclid.die/1356123257

Mathematical Reviews number (MathSciNet)
MR1824744

Zentralblatt MATH identifier
1013.93028

Subjects
Primary: 93B05: Controllability
Secondary: 35B37 35K57: Reaction-diffusion equations 93C20: Systems governed by partial differential equations

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


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