Electronic Journal of Differential Equations,
Vol. 2005(2005), No. 96, pp. 1-8.
Title: Singular integrals of the time-harmonic relativistic Dirac
equation on a piecewise Liapunov surface
Author: Baruch Schneider (Izmir Univ. of Economics, Turkey)
Abstract:
We give a short proof of a formula of Poincare-Bertrand in the
setting of time-harmonic solutions of the relativistic Dirac
equation on a piecewise Liapunov surface, as well as for some
versions of quaternionic analysis.
Submitted May 26, 2005. Published September 4, 2005.
Math Subject Classifications: 81Q05, 30E20, 35Q40.
Key Words: Relativistic Dirac equation; Cauchy-type integral;
quaternionic analysis.