Feedback controllability for blowup points of semilinear heat equations

Ping Lin

doi:10.3934/dcdsb.2017068

Article Contents

2017, Volume 22, Issue 4: 1425-1434. Doi: 10.3934/dcdsb.2017068

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Feedback controllability for blowup points of semilinear heat equations

Ping Lin^,

School of Mathematics & Statistics, Northeast Normal University, Changchun 130024, China

Author Bio: E-mail address: linp258@nenu.edu.cn
* Corresponding author: Ping Lin
* Corresponding author: Ping Lin

Received: March 31, 2016

Revised: July 31, 2016

Published: August 2017

The author is supported by NSF of China under grant 11471070.

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Abstract

This paper studies a controllability problem for blowup points of two classes of semilinear heat equations.Our goal to act controls on the systems we studied is to make the corresponding solutions blow upat given points. This differs with the controllability problem of equations with the property of blowup in the references, where the purpose of using controls is to prevent blowupby controls. We obtain the feedback controls for our controllability problem of blowup points.

Keywords:

Blowup point,
semilinear heat equation,
feedback controllability for blowup point.

Mathematics Subject Classification: Primary:93B05, 35K55;Secondary:35K20.

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References

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