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math.AP2011★ 16 cited
Existence and uniqueness of very singular solutions for a fast diffusion equation with gradient absorption
Razvan Gabriel Iagar, Philippe Laurencot
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…
math.AP2011★ 21 cited
Positivity, decay, and extinction for a singular diffusion equation with gradient absorption
Razvan Gabriel Iagar, Philippe Laurencot
We study qualitative properties of non-negative solutions to the Cauchy problem for the fast diffusion equation with gradient absorption \partial_t u -Δ_{p}u+|\nabla u|^{q}=0\quad…