Variationsprobleme in Orliczräumen und Splines

Two convex variational problems in Orlicz spaces are considered. We give sufficient conditions for existence and uniqueness of solutions and present several characterizations of these solutions. We show that the best interpolation property of certain nonlinear classes of spline functions is a special case of our results. As an application we consider the problem of Hermite-Birkhoff-interpolation with linear inequality constraints and illustrate the results by a simple example.

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Diese Arbeit ist eine gekürzte Fassung des zweiten Teils der Dissertation des Verfassers (Fakultät für Mathematik der Ludwig-Maximilians-Universität).     

Bestimmung des verteilungskoeffizienten von Si in Fe mit Hilfe spektroskopischer methoden

Spectroscopical methods have been used to determine the effective distribution coefficient of silicon within Fe-3% Si crystals, grown from Trafoperm N3 using the Bridgman method.A remarkable coincidence has been found between the values of the effective distribution coefficient determined by the method of atomic absorption spectrometry (AAS) and those determined with an electron probe microanalyser (EPMA).The investigations on single crystals, bicrystals and coarse-grained polycrystals show a strong dependence of the effective distribution coefficient k on the orientation as well as a big influence of enviromental conditions on crystal growth. Moreover, the analysis of the bicrystals prove a clear dependence of the effective distribution coefficient of one part of the bicrystal not only on its own crystallographic orientation but also on that of the other part.     

Enregistrement direct du spectre des petits ions atmosphériques

Sans résumé