Titlebook: Optimization, Optimal Control and Partial Differential Equations; First Franco-Romania Viorel Barbu,Dan Tiba,J. Frédéric Bonnans Book 1992

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International Series of Numerical Mathematicshttp://image.papertrans.cn/o/image/703321.jpg

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https://doi.org/10.1007/978-3-0348-8625-3Evolution; differential equation; mechanics; optimal control; optimization; partial differential equation

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Fluid Flows in Dielectric Porous MediaLet Ω be an open set in IR. (n ≥ 2) and . [0, ..[x .. x [0, ..[ the representative cell. Denote by . an open subset of . with smooth boundary ?., such that. Denote by the set of all translated images of of the form, . ∈ .., . = (k.l.,…,k..).

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Exponential dichotomy of evolution operators in Banach spacesThis paper introduces a concept of exponential dichotomy for a general class of nonlinear evolution operators. Necessary and sufficient conditions for exponential dichotomy are given. Obtained results are generalizations of well-known results of R. Datko (1973) and A. Ichikawa (1984) about exponential stability.

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