ESAIM Control Optimisation and Calculus of Variations · 2002 · 12 citations · 10 references
Natural SciencesElectrical EngineeringPhysicsHeat TransferTheoretical PhysicsThermodynamicsBoundary ConditionsDissipative SystemsInverse Heat TransferNumerical StabilityIll-posed Inverse ProblemsIll-posedness AnalysisInverse Boundary-value ProblemsParabolic Boundary-value Problems
We prove a logarithmic stability estimate for a parabolic inverse problem concerning the localization of unknown cavities in a thermic conducting medium Ω in , n ≥ 2, from a single pair of boundary measurements of temperature and thermal flux.
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