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• W4313573252 abstract "We investigate the link between inverse problems and final state observability for a general class of parabolic systems. We generalize a stability result for initial data known for the case of self-adjoint dissipative operators. More precisely, we consider a system governed by an analytic semigroup. Under the assumption of final state observability, we prove a logarithmic stability estimate depending on the analyticity angle of the semigroup. This is done by using a general logarithmic convexity result. The abstract result is illustrated by considering the Ornstein–Uhlenbeck equation." @default.
• W4313573252 created "2023-01-06" @default.
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• W4313573252 date "2023-01-01" @default.
• W4313573252 modified "2023-09-30" @default.
• W4313573252 title "Inverse problems for general parabolic systems and application to Ornstein-Uhlenbeck equation" @default.
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• W4313573252 doi "https://doi.org/10.3934/dcdss.2022212" @default.
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