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Abstract: We study a generalization of the porous medium equation involving nonlocalterms. More precisely, explicit self-similar solutions with compact supportgeneralizing the Barenblatt solutions are constructed. We also present a formalargument to get the $L^p$ decay of weak solutions of the corresponding Cauchyproblem.



Author: Piotr Biler, Cyril Imbert CEREMADE, Grzegorz Karch

Source: https://arxiv.org/







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