Exact controllability of the radial solutions of the semilinear wave equation in R.
Luz de Teresa (1998)
Revista Matemática Complutense
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The exact internal controllability of the radial solutions of a semilinear heat equation in R is proved. The result applies for nonlinearities that are of an order smaller than |s| logp |s| at infinity for 1 ≤ p < 2. The method of the proof combines HUM and a fixed point technique.