Singular integrals of the time-harmonic relativistic Dirac equation on a piecewise Liapunov surface
Electronic journal of differential equations, Tome 2005 (2005)
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.
Classification : 81Q05, 30E20, 35Q40
Keywords: relativistic Dirac equation, Cauchy-type integral, quaternionic analysis
@article{EJDE_2005__2005__a103,
     author = {Schneider,  Baruch},
     title = {Singular integrals of the time-harmonic relativistic {Dirac} equation on a piecewise {Liapunov} surface},
     journal = {Electronic journal of differential equations},
     year = {2005},
     volume = {2005},
     zbl = {1081.81035},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a103/}
}
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%J Electronic journal of differential equations
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Schneider,  Baruch. Singular integrals of the time-harmonic relativistic Dirac equation on a piecewise Liapunov surface. Electronic journal of differential equations, Tome 2005 (2005). http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a103/