Controllability results for a class ofone dimensional degenerate/singular parabolic equations

Morteza Fotouhi; Leila Salimi

doi:10.3934/cpaa.2013.12.1415

Article Contents

2013, Volume 12, Issue 3: 1415-1430. Doi: 10.3934/cpaa.2013.12.1415

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Controllability results for a class of one dimensional degenerate/singular parabolic equations

Morteza Fotouhi^1, and
Leila Salimi^1,

1.
Department of Mathematical Sciences, Sharif University of Technology , P.O. Box 11365-9415, Tehran

Received: November 2011

Revised: June 2012

Published: May 2013

Abstract / Introduction Related Papers Cited by

Abstract

We study the null controllability properties of some degenerate/singular parabolic equations in a bounded interval of R. For this reason we derive a new Carleman estimate whose proof is based on Hardy inequalities.

Keywords:

Mathematics Subject Classification: Primary: 35K65, 93B07; Secondary: 53C35.

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