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arxiv: 1412.7402 · v1 · pith:JY5M6K2Xnew · submitted 2014-12-23 · 🧮 math.AP

Carleman estimate and unique continuation for a structured population model

classification 🧮 math.AP
keywords carlemanestimatecontinuationmodelpopulationstructureduniqueapply
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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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