Article Contents
Article Contents

# $\omega$-limit sets for porous medium equation with initial data in some weighted spaces

• 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.
Mathematics Subject Classification: 35K55, 35B40.

 Citation:

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