Conservative perturbations of infinite-dimensional linear systems depending on a vector parameter
type: Item
instance of: scholarly article
title: Conservative perturbations of infinite-dimensional linear systems depending on a vector parameter
zbMATH Open document ID: 0688.58033
DOI: 10.1007/BF01078580
publication date: 1989-01-01T00:00:00Z
review text: The starting point for this analysis is an infinite dimensional linear Hamiltonian system on some Hilbert space, which depends on n real parameters and whose almost periodic trajectories densely fill analytic invariant n-tori. The purpose is to state conditions under which these tori survive conservative perturbations for most parameter values. The formulation of the theorem in question is very technical, but it is essentially a generalization of a result proved in an earlier paper [\textit{S. B. Kuksin}, Funkts. Anal. Prilozh. 21, No.3, 22-37 (1987; Zbl 0631.34069)]. The present extension applies to such cases as the nonlinear Schrödinger equation and the KdV-equation.
reviewed by: W. Sarlet
Mathematics Subject Classification ID: 37J40
Mathematics Subject Classification ID: 35B15
Mathematics Subject Classification ID: 35Q99
zbMATH DE Number: 4128126
zbMATH Keywords: infinite dimensional linear Hamiltonian system
zbMATH Keywords: invariant n-tori
zbMATH Keywords: perturbations
zbMATH Keywords: nonlinear Schrödinger equation
zbMATH Keywords: KdV-equation
author: Sergei Kuksin
MaRDI profile type: Publication
published in: Functional Analysis and Its Applications
description: scientific article; zbMATH DE number 4128126