On the asimptotic behavior of solutions of the Cauchy problem for parabolic equations with time periodic coefficients

Abstract

We are considering the asimptotic behavior as $t\to \infty$ of solutions of the Cauchy problem for parabolic second order equations with time periodic coefficients. The problem is reduced to considering degenerate time-homogeneous diffusion processes on the product of a unit circle and Euclidean space.

arXiv comment15 pages