Carleman inequality for a linear degenerate parabolic problem

2020/10/27 by Reginaldo Demarque, Demarque, R., J. Límaco +3
Computer Science · Engineering · Mathematics · #93B05 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical methods in inverse problems #Primary 35K65 #Secondary 93C20 #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.2010.14486

openalex publication_date 2020/10/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this work, we prove a Carleman estimate for a parabolic problem which has a dissipative degenerate term. The prove relies on choose a suitable weight function that change of sign inside the control domain.

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