ASYMPTOTICS OF A FUNDAMENTAL SOLUTION OF A PARABOLIC EQUATION AS $ t\to\infty$
E. F. Lelikova · Mathematics of the USSR-Sbornik · 1988
The author analyzes the behavior as of the fundamental solution of the Cauchy problem for the equation with infinitely differentiable coefficients and decreasing as . For the case when the functions and can be expanded as in asymptotic series of the form ??where , as , 1$ SRC=http://ej.iop.org/images/0025-5734/60/2/A04/tex_sm_3171_img13.gif/>, 2$ SRC=http://ej.iop.org/images/0025-5734/60/2/A04/tex_sm_3171_img14.gif/>, she constructs and justifies asymptotic expansion of the fundamental solution to within any power of uniformly with respect to all and in .Bibliography: 12 titles.