The convergence of the horizontal line method for the continuity equation with discontinuous data

The horizontal line method is applied to an initial boundary value problem for the continuity equation with only piecewise continuous data. The pointwise convergence of the approximate solutions towards the exact solution can be established. A numerical example is calculated.

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Zusammenfassung Die horizontale Linienmethode wird auf ein Anfangs-Randwertproblem für die Kontinuitätsgleichung mit nur stückweise stetigen Daten angewandt. Die punktweise Konvergenz der Näherungslösungen gegen die exakte Lösung kann gezeigt werden. Ein numerisches Beispiel wird berechnet.

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Supported by BMFT.     

Zum verallgemeinerten Wienerschen Satz für diskrete nilpotente Gruppen der Klasse 3

Ohne Zusammenfassung     

12C(12C, 8Be)16O angular distributions and excitation functions between 35 and 69 MeV bombarding energy

An array of eight detectors has been developed for identifying the particle unstable ⁸Be nucleus from nuclear reactions with high detection efficiency. Absolute cross sections have been measured for the reaction ¹²C(¹²C, ⁸Be_g.s.)¹⁶O to the ground state and to several excited states in ¹⁶O. Excitation functions at seven angles from 15° to 45° (lab) in 5° steps have been measured for bombarding energies between E¹²_C(lab) = 35 and 69 MeV. Excitation functions were obtained for the following states in the residual nucleus ¹⁶O which were found to be strongly populated: g.s.(0⁺); 6.1 MeV (0⁺, 3^?); 6.9 MeV (2⁺); 10.4 MeV (4⁺); 11.1 MeV (4⁺); 14.7 MeV (6⁺,…) and 16.3 MeV (6⁺,…). The energy range is covered in 250 keV (c.m.) steps; at certain energy ranges in ¹²⁵ keV or 50keV steps. All excitation functions exhibit a strong energy dependence of the cross section; pronounced gross structures with superimposed fine structures, similar to those observed for ¹²C+¹²C elastic and inelastic scattering at these energies, are observed. At 19.3 MeV, where resonant structures were observed in the reactions ¹²C(¹²C, p)²³Na, ¹²C(¹²C, n)²³Mg and ¹²C(¹²C, d)²²Na, no resonance is found for the reaction studied here. At 60, 61 and 63 MeV angular distributions have been measured in 1° and 2.5°(lab) angular steps. The excitation functions have been analyzed in terms of Ericson fluctuations and cross-correlation functions.     

Die Invarianz gewisser von Thetareihen erzeugter Vektorräume unter Heckeoperatoren

Ohne Zusammenfassung