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#### Cohomology of Finite Groups

(University of Essen, 1992)

This is a short lecture course on the cohomology of finite groups. Topics include Künneth formula, cup products and cohomology ring, differential graded algebras, Evens norm map and the Steenrod operations.

#### Solving the Ginzburg-Landau equations by finite-element methods

(American Physical Society, 1992-10)

We consider finite-element methods for the approximation of solutions of the Ginzburg-Landau equations of superconductivity. The methods are based on a discretization of the Euler-Lagrange equations resulting from the ...

#### scattering and inverse scattering in one-dimensional nonhomogeneous media

(AIP Publishing, 1992-05)

The wave propagation in a one-dimensional nonhomogeneous medium is considered, where the wave speed and the restoring force depend on location. In the frequency domain this is equivalent to the Schrodinger equation d2-psi/dx2 ...

#### inverse scattering in 1-D nonhomogeneous media and recovery of the wave speed

(AIP Publishing, 1992-04)

The inverse scattering problem for the 1-D Schrodinger equation d2-psi/dx2 + k2-psi = k2P(x)psi + Q(x)psi is studied. This equation is equivalent to the 1-D wave equation with speed 1/ square-root 1 - P(x) in a nonhomogeneous ...

#### Cauchy-problem for the linearized version of the Generalized Polynomial KdV equation

(AIP Publishing, 1992-06)

In the present paper results about the "Generalized Polynomial Korteweg-de Vries equation" (GPKdV) are obtained, extending the ones by Sachs [SIAM J. Math. Anal. 14, 674 (1983)] for the Korteweg-de Vries (KdV) equation. ...

#### Commutative rings with homomorphic power functions

(Hindawi, 1992-01-01)

A (commutative) ring R (with identity) is called m-linear (for an integer m≥2) if (a+b)m=am+bm for all a and b in R. The m-linear reduced rings are characterized, with special attention to the finite case. A structure ...