On The Cauchy Problem for The Equation u′ − Δu = u¦u¦γ−1 In The Supercritical Case

We prove global existence of classical solutions to the above problem, whenever the initial function is continuous and can be enclosed between a sub- and a supersolution of the corresponding stationary problem, where the latter are assumed to be smooth bounded functions lying in some L^p(?ⁿ) (Theorem 1). In addition we study the large-time behaviour of the solutions. As an example, it turns out from this that in case of the critical exponent γ = (n+2)/(n?2) the corresponding positive stationary solutions are unstable w.r.t. arbitrarily slight variations either from above or from below (Theorems 5 and 9).     

Associative products of graphs

It is shown that there exist exactly twenty products of graphs defined on the Cartesian product of the vertex sets of the factors where the adjacencies of the vertices only depend on the adjacencies in the factors.     

On graphs with regular groups

A new method for the construction of graphs with given regular group is developed and used to show that to every nonabelian group G of order 3^k, k ≥ 4, there exists a graph X whose automorphism group is isomorphic to G and regular as a permutation group on the set of vertices of X.     

The influence of rotational coupling on K-vacancy formation in U-Pb collisions

The beta endpoint energies of the alkaline fission products^88–94Rb and^139–144Cs have been measured with an intrinsic Ge-detector at the OSTIS fission product separator. The linearity and high resolution of the detector yields an accuracy of up to a few keV. Additional beta gamma coincidence spectra allow the deduction of Q_β-values.     

Über die Operation des Einsetzens in Polynomringen

Ohne Zusammenfassung     

The impact parameter dependence of the Pb + Pb K − MO spectrum

Molecular orbital X-rays are emitted during ion-atom collisions. The theoretical treatment, numerical results for the Pb + Pb system and a comparison with background radiation like NNB, SEB and γ-decay of Coulomb excited nuclei are presented.     

\mathfrak{M}-Untergruppen von Restklassengruppen

Ohne Zusammenfassung