$\omega$-limit sets for porous medium equation with initial data in some weighted spaces
2012
We discuss the $\omega$-limit set for the Cauchy problem of the porous medium
equation with initial data in some weighted spaces. Exactly, we show that there
exists some relationship between the $\omega$-limit set of the rescaled initial
data and the $\omega$-limit set of the spatially rescaled version of solutions.
We also give some applications of such a relationship.
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