Low frequency resolvent estimates for long range perturbations of the Euclidean Laplacian

Jean-Francois Bony (1) , Dietrich Häfner (1)

1 IMB - Institut de Mathématiques de Bordeaux

Using Mourre theory, we obtain low frequency resolvent estimates with sharp weights for long range metric perturbations of the flat Laplacian.

Domains: Analysis of PDEs [math.AP]; Mathematical Physics [math-ph]; Mathematical Physics [math-ph]; Spectral Theory [math.SP]; Functional Analysis [math.FA]

Jean-Francois Bony, Dietrich Häfner. Low frequency resolvent estimates for long range perturbations of the Euclidean Laplacian. Math. Res. Lett., 2010, 17 (2), pp.303-308. ⟨hal-00384726⟩