On the uniformization of the solutions of the porous medium equation inR
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| Authors: | Nicholas D Alikakos Rouben Rostamian |
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| Institution: | (1) Department of Mathematics, Purdue University, 47907 West Lafayette, IN, USA;(2) Department of Mathematics, Pennsylvania State University, 16802 University Park, PA, USA |
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| Abstract: | The asymptotics of the solution of the porous medium equation are related to the size of the initial data measured in an optimal
way. The universality of the separable solutions is established. Finally an interesting difference with the heat equation
is pointed out.
Supported in part by the National Science Foundation under Grant MCS-800L540. |
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