Anisotropic asymptotic behaviour for second order differential operators in non-divergential form

Rabah Tahraoui (1)

1 CEREMADE - CEntre de REcherches en MAthématiques de la DEcision

We study the asymptotic behaviour of solutions to second order differential equation set on the whole euclidean space. In particular, we get that such solutions have an anisotropic power-like decay at infinity.

Mots clés: Second order linear PDEs; Viscosity solutions; Maximum principle; Asymptotic behaviour

Domaines: Equations aux dérivées partielles [math.AP]

Rabah Tahraoui. Anisotropic asymptotic behaviour for second order differential operators in non-divergential form. 2011. ⟨hal-00582435⟩