Asymptotic behavior for a singular diffusion equation with gradient absorption

preprint2013arXivOpen access

We study the large time behavior of non-negative solutions to the singular diffusion equation with gradient absorption $\partial_t u-Δ_{p}u+|\nabla u|^q=0 \quad \hbox{in} \ (0,\infty)\times\real^N,$ for $p_c:=2N/(N+1)

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Asymptotic behavior for a singular diffusion equation with gradient absorption

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