Abstract: | The initial/boundary value problem for a parabolic equation in which the lower-order terms have random coefficients depending on a small parameter is studied. In doing this the joint distribution of the coefficients, normalized by dividing by ![radic](/content/n4710r011k33l373/xxlarge8730.gif) , converges to a limit distribution. It is proved that under certain natural additional hypotheses the distribution of the difference between the solution of the equation being studied and that of the limit equation converges to a distribution that can be easily expressed in terms of the limit distribution of the coefficients.Translated fromTeoriya Sluchaínykh Protsessov, Vol. 14, pp. 15–21, 1986. |