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arXiv · 1107.1303

Existence and uniqueness of very singular solutions for a fast diffusion equation with gradient absorption

Razvan Gabriel Iagar·Philippe Laurencot
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Abstract

Existence and uniqueness of radially symmetric self-similar very singular solutions are proved for the singular diffusion equation with gradient absorption {equation*} \partial_t u -Δ_{p}u+|\nabla u|^q=0, \ \hbox{in} \ (0,\infty)\times\real^N, {equation*} where $2N/(N+1)

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Razvan Gabriel Iagar, Philippe Laurencot. 2011-07-07. Existence and uniqueness of very singular solutions for a fast diffusion equation with gradient absorption. https://doi.org/10.1112/jlms%2Fjds051

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