Inverse source problem for a transmission problem for a parabolic equation. (English) Zbl 1099.35166
Summary: We consider an inverse problem of determining a spatially varying source term in a parabolic transmission problem. We establish a Lipschitz stability estimate in determining a source by a single measurement on an arbitrary subdomain over a time interval. our method is a Carleman estimate for the transmission problem by A. Doubova, A. Osses and J.-P. Puel [ESAIM, Control Optim. Calc. Var. 8, 621–661 (2002; Zbl 1092.93006)]
Citations:
Zbl 1092.93006References:
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