Asymptotic completeness of the wave operators for simply characteristic operators and long-range potentials by ENSS' method (Q808316)
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scientific article; zbMATH DE number 4210667
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Asymptotic completeness of the wave operators for simply characteristic operators and long-range potentials by ENSS' method |
scientific article; zbMATH DE number 4210667 |
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Asymptotic completeness of the wave operators for simply characteristic operators and long-range potentials by ENSS' method (English)
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1991
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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.
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asymptotic completeness
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wave operators
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