Local WKB construction for boundary Witten Laplacians

Dorian Le Peutrec (1)

1 IRMAR - Institut de Recherche Mathématique de Rennes

WKB $p$-forms are constructed as approximate solutions to boundary value problems associated with semi-classical Witten Laplacians. Naturally distorted Neumann or Dirichlet boundary conditions are considered.

Mots clés: WKB expansion; Boundary value problem; Witten Laplacian

Domaines: Equations aux dérivées partielles [math.AP]

Dorian Le Peutrec. Local WKB construction for boundary Witten Laplacians. Analysis & PDE, 2010, 3 (3), pp.227-260. ⟨10.2140/apde.2010.3.227⟩. ⟨hal-00333096⟩