Optimal extinction rates for the fast diffusion equation with strong absorption

Razvan Gabriel Iagar (1) , Philippe Laurençot (2)

1 ICMAT - Instituto de Ciencias Matematicas
2 IMT - Institut de Mathématiques de Toulouse UMR5219

Optimal extinction rates near the extinction time are derived for non-negative solutions to a fast diffusion equation with strong absorption, the power of the absorption exceeding that of the diffusion.

Mots clés: Extinction; optimal rates; fast diffusion; strong absorption

Domaines: Equations aux dérivées partielles [math.AP]

Razvan Gabriel Iagar, Philippe Laurençot. Optimal extinction rates for the fast diffusion equation with strong absorption. Bulletin of the London Mathematical Society, 2018, 50, pp.635--648. ⟨10.1112/blms.12165⟩. ⟨hal-01636721⟩