Abstract and Applied Analysis
Volume 7 (2002), Issue 7, Pages 375-383
Null controllability of a nonlinear heat equation
Department of Mathematics, “Alexandru Ioan Cuza” University
of Iaşi, 11 Carol I Boulevard, Iaşi 6600, Romania
Received 10 January 2002
Copyright © 2002 G. Aniculăesei and S. Aniţa. 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.
We study the internal exact null controllability of a nonlinear
heat equation with homogeneous Dirichlet boundary condition. The
method used combines the Kakutani fixed-point theorem and the
Carleman estimates for the backward adjoint linearized system.
The result extends to the case of boundary control.