Quantitative analysis of metastability in reversible diffusion processes via a Witten complex approach: the case with boundary.

Francis Nier (1) , Bernard Helffer (2)

1 IRMAR - Institut de Recherche Mathématique de Rennes
2 LM-Orsay - Laboratoire de Mathématiques d'Orsay

This article is a continuation of previous works by Bovier-Eckhoff-Gayrard-Klein, Bovier-Gayrard-Klein and Helffer-Klein-Nier. It is concerned with the analysis of the exponentially small eigenvalues of a semiclassical Witten Laplacian. We consider here the case of riemanian manifolds with boundary with a Dirichlet realization of the Witten Laplacian. A modified version of this preprint has been published in Mémoires de la SMF vol. 105, (2006)

Mots clés: Exponentially small eigenvalues; Witten complex; Boundary value problem; Accurate asymptotics

Domaines: Equations aux dérivées partielles [math.AP]

Francis Nier, Bernard Helffer. Quantitative analysis of metastability in reversible diffusion processes via a Witten complex approach: the case with boundary.. 2004. ⟨hal-00002744⟩