Inverse Conductivity Problem for a Parabolic Equation using a Carlemen Estimate with one Observation

2007/06/11 by Patricia Gaitan, Gaitan, Patricia
Computer Science · Engineering · Mathematics · #35R05 #35R30 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical methods in inverse problems #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.0706.1422

openalex publication_date 2007/06/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For the heat equation in a bounded domain we give a stability result for a smooth diffusion coefficient. The key ingredients are a global Carleman-type estimate, a Poincaré-type estimate and an energy estimate with a single observation acting on a part of the boundary.

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