Data di Pubblicazione:
2016
Abstract:
Let $u$ be a non-negative super-solution to a $1$-dimensional singular
parabolic equation of $p$-Laplacian type ($1
power-like decay of order $\frac p2-p$ with respect to the space variable $x$
in $\mathbb R\times[T/2,T]$. This fact, stated quantitatively in Proposition
1.1, is a "sidewise spreading of positivity" of solutions to such singular
equations, and can be considered as a form of Harnack inequality. The proof of
such an effect is based on geometrical ideas.
parabolic equation of $p$-Laplacian type ($1
power-like decay of order $\frac p2-p$ with respect to the space variable $x$
in $\mathbb R\times[T/2,T]$. This fact, stated quantitatively in Proposition
1.1, is a "sidewise spreading of positivity" of solutions to such singular
equations, and can be considered as a form of Harnack inequality. The proof of
such an effect is based on geometrical ideas.
Tipologia CRIS:
1.1 Articolo in rivista
Keywords:
Mathematics - Analysis of PDEs; Mathematics - Analysis of PDEs; 35K65, 35B65
Elenco autori:
Düzgün, Fatma Gamze; Gianazza, UGO PIETRO; Vespri, Vincenzo
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