NORM CONVERGENCE OF THE RESOLVENT FOR WILD PERTURBATIONS (presentation)

Colette Anné (1) , Olaf Post

1 LMJL - Laboratoire de Mathématiques Jean Leray

We present here recent progress in the convergence of the resolvent of Laplace operators under wild perturbations. In particular, we show convergence in norm in a generalised sense. We focus here on the excision of many small balls in a complete Riemannian manifold with bounded geometry.

Domaines: Théorie spectrale [math.SP]; Géométrie différentielle [math.DG]

Colette Anné, Olaf Post. NORM CONVERGENCE OF THE RESOLVENT FOR WILD PERTURBATIONS (presentation). Analysis and Geometry on Graphs and Mani- folds, Jul 2017, Potsdam, Germany. ⟨hal-02364006⟩