Abstract and Applied Analysis
Volume 7 (2002), Issue 7, Pages 375-383
doi:10.1155/S1085337502002865

Null controllability of a nonlinear heat equation

Abstract

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.