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• W2950559544 abstract "We study the large time behavior of non-negative solutions to the nonlinear diffusion equation with critical gradient absorption $$partial_t u - Delta_{p}u + |nabla u|^{q_*} = 0 quad hbox{in} (0,infty)timesmathbb{R}^N ,$$ for $pin(2,infty)$ and $q_*:=p-N/(N+1)$. We show that the asymptotic profile of compactly supported solutions is given by a source-type self-similar solution of the $p$-Laplacian equation with suitable logarithmic time and space scales. In the process, we also get optimal decay rates for compactly supported solutions and optimal expansion rates for their supports that strongly improve previous results." @default.
• W2950559544 created "2019-06-27" @default.
• W2950559544 creator A5002395669 @default.
• W2950559544 creator A5033962589 @default.
• W2950559544 date "2015-03-26" @default.
• W2950559544 modified "2023-09-30" @default.
• W2950559544 title "Large time behavior for a quasilinear diffusion equation with critical gradient absorption" @default.
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