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