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math.AP2013
Large time behavior for a porous medium equation in a nonhomogeneous medium with critical density
Razvan Iagar, Ariel Sánchez Valdés
We study the large time behavior of solutions to the porous medium equation in nonhomogeneous media with critical singular density $$ |x|^{-2}\partial_{t}u=Δu^m, \quad \hbox{in} \…
math.AP2013★ 1 cited
Rotationally symmetric p-harmonic flows from D^2 to S^2: local well-posedness and blow-up
Razvan Gabriel Iagar, Salvador Moll
We study the -harmonic flow from the unit disk to the unit sphere under rotational symmetry. We show that the Dirichlet problem with constant boundary conditions is…
math.AP2013★ 8 cited
Asymptotic behavior for a singular diffusion equation with gradient absorption
Razvan Gabriel Iagar, Philippe Laurencot
We study the large time behavior of non-negative solutions to the singular diffusion equation with gradient absorption $$ \partial_t u-Δ_{p}u+|\nabla u|^q=0 \quad \hbox{in} \ (0,\i…