Stability of the essential spectrum of second-order complex elliptic operators

Em Ouhabaz (1) , P Stollmann

1 LAMA - Laboratoire d'Analyse et de Mathématiques Appliquées

We prove compactness of the resolvent difference for second order divergence form operators whose matrix functions are close enough at infinity. Our theorems include certain subelliptic cases as well as cases with unbounded coefficients.

Domaines: Physique mathématique [math-ph]

Em Ouhabaz, P Stollmann. Stability of the essential spectrum of second-order complex elliptic operators. Journal für die reine und angewandte Mathematik, 1998, 500 (?), pp.113--126. ⟨hal-00694261⟩