G. Aniculăesei, S. Aniţa, "Null controllability of a nonlinear heat equation", Abstract and Applied Analysis, vol. 7, Article ID 643790, 9 pages, 2002. https://doi.org/10.1155/S1085337502002865
Null controllability of a nonlinear heat equation
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.
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