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The exact internal controllability of the radial solutions of a semilinear heat equation in R3 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.
Teresa, Luz de. "Exact controllability of the radial solutions of the semilinear wave equation in R3.." Revista Matemática Complutense 11.1 (1998): 221-245. <http://eudml.org/doc/44466>.
@article{Teresa1998, abstract = {The exact internal controllability of the radial solutions of a semilinear heat equation in R3 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.}, author = {Teresa, Luz de}, journal = {Revista Matemática Complutense}, keywords = {Teoría de sistemas; Sistemas de control; Ecuaciones lineales; Transmisión de calor; Sensibilidad; semilinear equation; exact controllability; spherical coordinates; wave equation; HUM; fixed point method}, language = {eng}, number = {1}, pages = {221-245}, title = {Exact controllability of the radial solutions of the semilinear wave equation in R3.}, url = {http://eudml.org/doc/44466}, volume = {11}, year = {1998}, }
TY - JOUR AU - Teresa, Luz de TI - Exact controllability of the radial solutions of the semilinear wave equation in R3. JO - Revista Matemática Complutense PY - 1998 VL - 11 IS - 1 SP - 221 EP - 245 AB - The exact internal controllability of the radial solutions of a semilinear heat equation in R3 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. LA - eng KW - Teoría de sistemas; Sistemas de control; Ecuaciones lineales; Transmisión de calor; Sensibilidad; semilinear equation; exact controllability; spherical coordinates; wave equation; HUM; fixed point method UR - http://eudml.org/doc/44466 ER -