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Applicable Analysis
An International Journal
Volume 95, 2016 - Issue 3
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Articles

Carleman estimate and unique continuation for a structured population model

Masaaki UesakaGraduate School of Mathematical Sciences, The University of Tokyo, 3-8-1 Komaba, Meguro-ku, Tokyo, 153-8914Japan.Correspondence[email protected]
&
Masahiro YamamotoGraduate School of Mathematical Sciences, The University of Tokyo, 3-8-1 Komaba, Meguro-ku, Tokyo, 153-8914Japan.
Pages 599-614 | Received 24 Dec 2014, Accepted 19 Feb 2015, Published online: 17 Mar 2015
 
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Abstract

We consider a time-dependent structured population model equation and establish a Carleman estimate. We apply the Carleman estimate to prove the unique continuation which means that Cauchy data on any lateral boundary determine the solution uniquely.

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Notes

No potential conflict of interest was reported by the authors.

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