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- W88885065 abstract "Backward uniqueness for thermoelastic plates and thermoelastic waves with time- and space-dependent coefficients is established. While this result has been proved recently, in the case of time-independent coefficients, it is new for the case of time-dependent coefficients. The proof relies on a combination of energy and Carleman’s estimates, hence it is very different from the one given in [LRT], which is based on complex analysis methods. These latter methods are not applicable to nonlinear models and to models with time-dependent coefficients. Our results have consequences for several nonlinear models of thermoelasticity.KeywordsEnergy EstimateLumer VolumeHomogeneous Dirichlet Boundary ConditionCarleman EstimatePlate EquationThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves." @default.
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- W88885065 date "2007-01-01" @default.
- W88885065 modified "2023-10-16" @default.
- W88885065 title "Backward Uniqueness in Linear Thermoelasticity with Time and Space Variable Coefficients" @default.
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- W88885065 doi "https://doi.org/10.1007/978-3-7643-7794-6_25" @default.
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