Proves exact reconstruction theorem for bulk-surface parabolic system via Carleman observability and Tikhonov reformulation, with Lie-split discretization, stability analysis, adaptive post-processing, and semilinear Allen-Cahn extension.
and Osses, Axel and Puel, Jean Pierre , TITLE =
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A null controllability data assimilation for the bulk-surface heat equation with dynamic boundary conditions
Proves exact reconstruction theorem for bulk-surface parabolic system via Carleman observability and Tikhonov reformulation, with Lie-split discretization, stability analysis, adaptive post-processing, and semilinear Allen-Cahn extension.