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

Luz de Teresa

Revista Matemática Complutense (1998)

  • Volume: 11, Issue: 1, page 221-245
  • ISSN: 1139-1138

Abstract

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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.

How to cite

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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 -

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