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Nonnegative solutions of the initial-Dirichlet problem for generalized porous medium equations in cylinders
In this paper we study nonnegative solutions U of a class of nonlinear evolutions au/at = dqJ(U) , whose best known example is the porous medium equation qJ(u) = urn, m > 1 (see [9] for a recent survey on these equations).We study our solutions u, subject to Dirichlet boundary …