On stabilization of the solutions of parabolic equations with small parameter
Mark Iosifovich Freidlin · Proceedings of the National Academy of Sciences · 1984
We consider two classes of quasi-linear parabolic equations depending on a small parameter epsilon. The asymptotic behavior of the solutions as t --> alpha and epsilon --> 0 is investigated by studying the associated Markov family. We find its dependence on the way t and epsilon(-1) go to infinity and on the initial point.