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- W3128993940 abstract "Abstract We study in this paper the inverse problem for the dynamical convection–diffusion equation. More precisely, we set logarithmic stability estimates in the determination of the two time-dependent first-order convection term and the scalar potential appearing in the heat equation. The observations here are taken only on an arbitrary open subset of the boundary and are given by a partial Dirichlet-to-Neumann map. For this end, we will reduce our initial problem into an auxiliary one then we will construct particular solutions and apply a special parabolic Carleman estimate." @default.
- W3128993940 created "2021-02-15" @default.
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- W3128993940 date "2021-03-16" @default.
- W3128993940 modified "2023-10-18" @default.
- W3128993940 title "Stably determining time-dependent convection–diffusion coefficients from a partial Dirichlet-to-Neumann map" @default.
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- W3128993940 doi "https://doi.org/10.1088/1361-6420/abe10d" @default.
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