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- W2886513265 abstract "Let $Q=(0,T)timesOmega$, where $Omega$ is a bounded open subset of $mathbb{R}^d$. We consider the parabolic $p$-capacity on $Q$ naturally associated with the usual $p$-Laplacian. Droniou, Porretta and Prignet have shown that if a bounded Radon measure $mu$ on $Q$ is diffuse, i.e. charges no set of zero $p$-capacity, $p>1$, then it is of the form $mu=f+mbox{div}(G)+g_t$ for some $fin L^1(Q)$, $Gin (L^{p'}(Q))^d$ and $gin L^p(0,T;W^{1,p}_0(Omega)cap L^2(Omega))$. We show the converse of this result: if $p>1$, then each bounded Radon measure $mu$ on $Q$ admitting such a decomposition is diffuse." @default.
- W2886513265 created "2018-08-22" @default.
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- W2886513265 date "2018-08-20" @default.
- W2886513265 modified "2023-09-27" @default.
- W2886513265 title "On the structure of diffuse measures for parabolic capacities" @default.
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