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$%L. de Teresa, Exact controllability of the radial solutions of the semilinear wave equation in R3, Rev. Mat. Complut. 11 (1998), no. 1, 221245.%$

Exact Controllability of the Radial Solutions of the Semilinear Wave Equation in R3
Luz DE TERESA
IMATE, UNAM
Circuito Exterior
C.U. 04510 D.F. México Mexico

Received: February 17, 1997
ABSTRACT

The exact internal controllability of the radial solutions of a semilinear heat equation in   3
R  is proved. The result applies for nonlinearities that are of an order smaller than      p
|s|log | s| at infinity for 1> p <2  . The method of the proof combines HUM and a fixed point technique.

1991 Mathematics Subject Classification: 93B05, 35L05, 35B37.