Lagrangian intersections and glancing points: typical transitions of phase in semiclassical approximations
Résumé
Given a semiclassical distribution f_h microlocalized on a Lagrangian manifold Λ_0 , H ∈ C^∞ (T * R^n), and H = E a regular energy surface, we find asymptotic solutions of the PDE (H(x, \widehat p) − E) u_h (x, E) = f _h (x) in terms of the Maslov canonical operator, when the Hamilton vector field v_H fails to be transverse to Λ_0 at some points.
Domaines
Mathématiques [math]
Origine : Fichiers produits par l'(les) auteur(s)