Capacitary representations of positive solutions of semilinear parabolic equations

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dc.creatorMarcus, Moshe
dc.creatorVeron, Laurent
dc.date2008-05-23
dc.date.accessioned2026-07-07T12:19:12Z
dc.date.available2026-07-07T12:19:12Z
dc.descriptionWe give a global bilateral estimate on the maximal solution $\bar u_F$ of $ \prt_tu-Δu+u^q=0$ in $\BBR^N\times (0,\infty)$, $q>1$, $N\geq 1$, which vanishes at $t=0 $ on the complement of a closed subset $F\subset \BBR^N$. This estimate is expressed by a Wiener test involving the Bessel capacity $C_{2/q,q'}$. We deduce from this estimate that $\bar {u}_F$ is $σ$-moderate in Dynkin's sense.
dc.identifierhttps://arxiv.org/abs/0805.3660
dc.identifierhttp://arxiv.org/abs/0805.3660
dc.identifierC. R. Acad. Sci. Paris Ser. I Paris 342 (2006) 655-660
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/212671
dc.subjectAnalysis of PDEs
dc.titleCapacitary representations of positive solutions of semilinear parabolic equations
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