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- W1987481800 abstract "We consider parabolic equations of porous medium type of the formut−divA(x,t,u,Du)=μinET, in some space time cylinder ET. The most prominent example covered by our assumptions is the classical porous medium equationut−Δum=μinET, with m≥1. We establish a sufficient condition for the continuity of u in terms of a natural Riesz potential of the right-hand side measure μ. As an application we come up with a borderline condition ensuring the continuity of u: more precisely, if μ∈L(N+22,1), then u is continuous in ET." @default.
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- W1987481800 date "2014-11-01" @default.
- W1987481800 modified "2023-10-16" @default.
- W1987481800 title "Continuity estimates for porous medium type equations with measure data" @default.
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- W1987481800 doi "https://doi.org/10.1016/j.jfa.2014.08.014" @default.
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