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Titlebook: New Prospects in Direct, Inverse and Control Problems for Evolution Equations; Angelo Favini,Genni Fragnelli,Rosa Maria Mininni Book 2014

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楼主: 使无罪
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Exponential Decay Properties of a Mathematical Model for a Certain Fluid-Structure Interaction,structure interaction. In particular, a three-dimensional Stokes flow interacts across a boundary interface with a two-dimensional mechanical plate equation. In the case that the PDE plate component is rotational inertia-free, one will have that solutions of this fluid-structure PDE system exhibit a
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Inverse Coefficient Problem for Grushin-Type Parabolic Operators, hard to apply to the case of Grushin-type operators studied in this paper. Indeed, such estimates are still missing for parabolic operators degenerating in the interior of the space domain. Nevertheless, we are able to prove Lipschitz stability results for inverse coefficient problems for such oper
发表于 2025-3-25 14:59:16 | 显示全部楼层
A Control Approach for an Identification Problem Associated to a Strongly Degenerate Parabolic Systonditions, where . > 0, . > 0, and . is in a suitable .. space. The operator . has the form ... = (..)., or ... = .., and strong degeneracy means that the diffusion coefficient . ∈ ..(0, .) satisfies .(.) > 0 except for an interior point of (0, .) and .. Since an identification problem related to ..
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Solutions of Stochastic Systems Generalized Over Temporal and Spatial Variables,der abstract Cauchy problem with generators of .-semigroups in Hilbert spaces and with Hilbert space valued random processes. A generalized .-white noise and cylindrical white noise are introduced as generalized derivatives of .-Wiener and cylindrical Wiener processes in special spaces of distributi
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Recovering the Reaction Coefficient in a Linear Parabolic Equation,g conditions, which can be local and nonlocal with respect to the time variable. The results we provide concern the well-posedness and the stability of the solutions under singular limit of the parameters. The argument is constructive, and relies on an approximation scheme that computes the solution
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