On the uniformization of the solutions of the porous medium equation inR N
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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.
Keywords
Initial Data Heat Equation Porous Medium Equation Lebesgue Dominate Convergence Theorem Separable Solution
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