A Liouville theorem for a heat equation and applications for quenching

Nejla Nouaili (1)

1 CEREMADE - CEntre de REcherches en MAthématiques de la DEcision

We prove a Liouville Theorem for a semilinear heat equation with absorp- tion term in one dimension. We then derive from this theorem uniform estimates for quenching solutions of that equation.

Mots clés: Heat equation; Quenching; Liouville theorem; Heat equation.

Domaines: Equations aux dérivées partielles [math.AP]

Nejla Nouaili. A Liouville theorem for a heat equation and applications for quenching. Nonlinearity, 2011, 24 (3), pp.797-832. ⟨hal-00531228⟩