On stabilization of the solutions of parabolic equations with small parameter.
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.
Moscow, U.S.S.R.
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MI
Freidlin