Asymptotically stable invariant tori of a vector field \(V(x)\) and the quasimodes of the operators \(V(x) \cdot \nabla- \varepsilon \Delta\)
type: Item
instance of: scholarly article
title: Asymptotically stable invariant tori of a vector field \(V(x)\) and the quasimodes of the operators \(V(x) \cdot \nabla- \varepsilon \Delta\)
zbMATH Open document ID: 0874.35101
DOI: 10.1007/BF02304111
author: Sergei Yu. Dobrokhotov
author: Vassili Kolokoltsov
author: Victor Martines Olive
published in: Mathematical Notes
publication date: 1997-11-10T00:00:00Z
review text: The authors construct approximate eigenfunctions of the operator \(-\varepsilon\Delta+ (V(x),\nabla)\) on \(L^2(\mathbb{R}^n)\) for \(\varepsilon\) small. The eigenfunctions concentrate in a neighborhood of invariant \(k\)-tori of the vector field \(V\).
reviewed by: Joachim Asch
Mathematics Subject Classification ID: 35Q40
Mathematics Subject Classification ID: 81Q10
Mathematics Subject Classification ID: 35P05
zbMATH DE Number: 898931
zbMATH Keywords: invariant tori of a vector field
zbMATH Keywords: approximate eigenfunctions
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 898931