Titlebook: Analysis and Numerics of Partial Differential Equations; Franco Brezzi,Piero Colli Franzone,Gianni Gilardi Book 2013 Springer-Verlag Itali

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Heat Flow and Calculus on Metric Measure Spaces with Ricci Curvature Bounded Below—The Compact Casefinition of Ricci curvature bound from below for metric measure spaces. This new notion is stable w.r.t. measured Gromov-Hausdorff convergence and it is strictly connected with the linearity of the heat flow.

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A Generalized Empirical Interpolation Method: Application of Reduced Basis Techniques to Data Assimicquisition, that can serve as an input to models expressed by partial differential equations. The approach combines data acquisition (with noise) with domain decomposition techniques and reduced basis approximations.

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Variational Formulation of Phase Transitions with Glass Formation analysis of compactness and structural stability of the dependence of the solution(s) on data and operators, via De Giorgi’s notion of .-convergence. This latter issue is here dealt with in some simpler settings.

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2281-518X t contains original research papers, and shows how ideas, methods, and techniques introduced by Magenes and his collaborators still have an impact on the current research in Mathematics.978-88-470-5559-9978-88-470-2592-9Series ISSN 2281-518X Series E-ISSN 2281-5198

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