Carleman estimate and unique continuation for a structured population model

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.

Keywords:

• structured population model
• Carleman estimate
• unique continuation

AMS Subject Classifications:

• 35R30
• 92D25
• 35B60

Notes

No potential conflict of interest was reported by the authors.