Carleman estimate and unique continuation for a structured population model

2014/12/23 by Masaaki Uesaka, Masahiro Yamamoto, Uesaka, Masaaki +1
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical methods in inverse problems #math.AP

paper · pdf · doi:10.48550/arxiv.1412.7402

18 pages

arxiv created 2014/12/23 · openalex publication_date 2014/12/23 · arxiv updated 2014/12/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Applications of Mathematics to Medical Problems

Related

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• Strong Unique Continuation Property for Stochastic Parabolic Equations
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