APPROXIMATE BOUNDARY CONTROLLABILITY FOR THE SEMILINEAR HEAT EQUATION
DOI:
https://doi.org/10.15381/pes.v8i2.9359Keywords:
Approximate controllability, Boundary control, Unique continuation, Adjoint system.Abstract
We study the problem of the approximate boundary controllability associated to the semilinear heat equation
The work presents an adaptation for boundary control problems of a fixed point technique introduced by E. Zuazua in the context of the equation of the wave, which had also been applied in the study of the approximate controlability when the controls act inside the domain Ω.
The demonstration that we present is constructive in the sense that we explicitly obtain a boundary control in function of the solution of the adjoint system associated to our problem.
Downloads
Published
Issue
Section
License
Copyright (c) 2005 Víctor Rafael Cabanillas Zannini
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
THE AUTHORS RETAIN THEIR RIGHTS:
a) The authors retain their trademark and patent rights, and also on any process or procedure described in the article.
b) The authors retain the right to share, copy, distribute, execute and publicly communicate the article published in Pesquimat magazine (for example, place it in an institutional repository or publish it in a book), with recognition of its initial publication in the Pesquimat magazine.
c) The authors retain the right to make a later publication of their work, to use the article or any part of it (for example: a compilation of their works, notes for conferences, thesis, or for a book), provided that they indicate the source of publication (authors of the work, magazine, volume, number and date).
