Local WKB construction for Witten Laplacians on manifolds with boundary

Le Peutrec, Dorian

doi:10.2140/apde.2010.3.227

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Local WKB construction for Witten Laplacians on manifolds with boundary

Dorian Le Peutrec

Vol. 3 (2010), No. 3, 227–260

DOI: 10.2140/apde.2010.3.227

Abstract

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

Keywords

WKB expansion, boundary value problem, Witten Laplacian

Mathematical Subject Classification 2000

Primary: 58J10, 58J32, 58J37, 81Q20

Milestones

Received: 3 November 2008

Revised: 19 November 2009

Accepted: 20 December 2009

Published: 21 July 2010

Authors

Dorian Le Peutrec
IRMAR, UMR-CNRS 6625 Université de Rennes 1 Campus de Beaulieu 35042 Rennes Cedex France

Vol. 3, No. 3, 2010