Generalized random processes and Cauchy's problem for some partial differential systems
Mahmoud M. El-Borai1
Received01 Feb 1979
Revised22 Oct 1979
Abstract
In this paper we consider a parabolic partial differential system of the form DtHt=L(t,x,D)Ht. The generalized stochastic solutions Ht, corresponding to the generalized stochastic initial conditions H0 are given. Some properties concerning these generalized stochastic solutions are also obtained.