Exact controllability of the radial solutions of the semilinear wave equation in R3.

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 &lt; 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 &lt; 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 -