The Cauchy initial value problem for the Klein-Gordon equation has been considered in a class of tempered distributions using a notion of a section of a distribution with a hyperplane. We consider also different linear PDE derivable from Klein-Gordon equation as Dirac, Proca ,Weyl and all the most important wave equations of relativistic quantum mechanics and quantum field theory. We consider also Maxwell equations.We consider also classical Cauchy initial value problem for those equations using obtained generalized results e.g. for Maxwell equations.
Comments: 178 Pages. the paper is written in polish
[v1] 2016-08-22 11:03:47
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