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Local Null Controllability of a Free-Boundary Problem for the Semilinear 1D Heat Equation

Local Null Controllability of a Free-Boundary Problem for the Semilinear 1D Heat Equation This paper deals with the local null control of a free-boundary problem for the 1D semilinear heat equation with distributed controls (locally supported in space) or boundary controls (acting at  $$x=0$$ x = 0 ). In the main result we prove that, if the final time T is fixed and the initial state is sufficiently small, there exists controls that drive the state exactly to rest at time $$t=T$$ t = T . http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Bulletin of the Brazilian Mathematical Society, New Series Springer Journals

Local Null Controllability of a Free-Boundary Problem for the Semilinear 1D Heat Equation

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References (18)

Publisher
Springer Journals
Copyright
Copyright © 2016 by Sociedade Brasileira de Matemática
Subject
Mathematics; Mathematics, general; Theoretical, Mathematical and Computational Physics
ISSN
1678-7544
eISSN
1678-7714
DOI
10.1007/s00574-016-0001-0
Publisher site
See Article on Publisher Site

Abstract

This paper deals with the local null control of a free-boundary problem for the 1D semilinear heat equation with distributed controls (locally supported in space) or boundary controls (acting at  $$x=0$$ x = 0 ). In the main result we prove that, if the final time T is fixed and the initial state is sufficiently small, there exists controls that drive the state exactly to rest at time $$t=T$$ t = T .

Journal

Bulletin of the Brazilian Mathematical Society, New Series – Springer Journals

Published: Aug 15, 2016

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