Über die Potenzen eines abgeschlossenen Operators in einem Banachraum
Über die Quotiententopologie als Spur der Potenz einer Topologie
Über die Realisierung von Boole-Algebren als Boole-Algebren regulär offener Mengen
Über die verallgemeinerten uniformen Strukturen von Morita und ihre Vervollständigung
Über ein Konvergenzprinzip bei Spektralzerlegungen
Über eine Klasse Lokalkonvexer Räume
Über gewisse Klassen von Modularraümen
Uniform dimension of mappings
Uniform error bounds for semi-discrete finite element solutions of evolutionary integral equations
In this paper, we consider the second-order continuous time Galerkin approximation of the solution to the initial problem where A is an elliptic partial-differential operator and is positive, nonincreasing and log-convex on with . Error estimates are derived in the norm of , and some estimates for the first order time derivatives of the errors are also given.
Uniformities and embeddings
Uniqueness of the Rothe method for the Burgers equation with piecewise continuous initial data
Universal enveloping algebras and quantization
It is shown how the universal enveloping algebra of a Lie algebra can be obtained as a formal deformation of the Kirillov-Souriau Poisson algebra of smooth functions on the dual of . This deformation process may be viewed as a “quantization” in the sense of F. Bayen, M. Flato, C. Fronsdal, A. Lichnerowicz and D. Sternheimer [Ann. Phys. 111, 61-110 (1978; Zbl 0377.53024) and ibid., 111-151 (1978; Zbl 0377.53025)]. The result presented is a somewhat more elaborate version of earlier findings...
Universal spaces
Untere Schranken für die Eigenwerte Stekloffscher Eigenwertaufgaben
Use of a differential evolution algorithm for the optimization of the heat radiation intensity
This article focuses on the heat radiation intensity optimization on the surface of an aluminium shell mould. The outer mould surface is heated by infrared heaters located above the mould and the inner mould surface is sprinkled with a special PVC powder. This is an economic way of producing artificial leathers in the automotive industry (e.g. the artificial leather on car dashboards). The article includes a description of a mathematical model that allows us to calculate the heat radiation intensity...