scholarly journals Singular pseudodifferential calculus for wavetrains and pulses

2014 ◽  
Vol 142 (4) ◽  
pp. 719-776 ◽  
Author(s):  
Jean-Francois Coulombel ◽  
Olivier Guès ◽  
Mark Williams
Keyword(s):  
Pseudodifferential Calculus

Méthode BKW formelle et spectre des molécules polyatomiques dans l'approximation de Born–Oppenheimer

2001 ◽  
Vol 79 (4) ◽  
pp. 757-771 ◽  
Author(s):  
B Messirdi ◽  
A Senoussaoui
Keyword(s):  
First Eigenvalue ◽  
The First Eigenvalue ◽  
Pseudodifferential Calculus ◽  
Coulomb Type ◽  
Formal Version

We studied the spectrum of P = -h2Δx – Δy + V (x,y) on L2(IRx3n × IRy3p), when h tends to zero, n [Formula: see text] 2, p [Formula: see text] IN*, in the case where the potential V(x,y) is singular and of Coulomb type and the first eigenvalue of Q (x) = -Δy + V(x,y) on L (IRy3p) admits an unbounded well. Using a formal version of the h-pseudodifferential calculus on the regularized operator of P with adapted changes, we obtained WKB-type expansions of eigenvalues and associated eigenfunctions of P.

scholarly journals Pseudodifferential calculus on a singular foliation

2011 ◽  
pp. 125-152 ◽  
Author(s):  
Iakovos Androulidakis ◽  
Georges Skandalis
Keyword(s):  
Singular Foliation ◽  
Pseudodifferential Calculus
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