Asymptotic completeness of the wave operators for simply characteristic operators and long-range potentials by ENSS' method
type: Item
instance of: scholarly article
title: Asymptotic completeness of the wave operators for simply characteristic operators and long-range potentials by ENSS' method
zbMATH Open document ID: 0732.35056
DOI: 10.1016/0022-0396(91)90117-R
author: N. E. Zubov
published in: Journal of Differential Equations
publication date: 1991-01-01T00:00:00Z
review text: Les résultats prolongent ceux de Mulhuramalingam limités à l'ordre 2. Cet article assez technique s'intéresse à l'opérateur \(H_ 0u(x)=P(D)\cdot u(x)\) tel que \((i)\quad c| \xi |^{\delta}\leq 1+| P(\xi)| +| P'(\xi)|,(ii)\quad \forall \alpha >2\quad | P^{\alpha}(\xi)| \leq C_{\alpha}(1+| P(\xi)| +| P'(\xi)|)\)modifié par une perturbation \(V=V_ S+V_ L\). L'auteur étudie l'équation des ondes associée et ses propriétés.
reviewed by: M.Merigot
Mathematics Subject Classification ID: 35P25
zbMATH DE Number: 4210667
zbMATH Keywords: asymptotic completeness
zbMATH Keywords: wave operators
MaRDI profile type: Publication
cites work: Q3941791
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description: scientific article; zbMATH DE number 4210667