Title Nonlinear oscillations of Hamiltonian PDEs / Massimiliano Berti

Published Boston : Birkhäuser, ©2007

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Description 1 online resource (xiv, 180 pages) : illustrations Series Progress in nonlinear differential equations and their applications ; v. 74 Progress in nonlinear differential equations and their applications ; v. 74. Contents Front Matter; Finite Dimension; Infinite Dimension; A Tutorial in Nash-Moser Theory; Application to the Nonlinear Wave Equation; Forced Vibrations; Back Matter Summary Many partial differential equations (PDEs) that arise in physics can be viewed as infinite-dimensional Hamiltonian systems. This monograph presents existence results of nonlinear oscillations of Hamiltonian PDEs, particularly of periodic solutions for completely resonant nonlinear wave equations Bibliography Includes bibliographical references (pages 171-176) and index Audience Graduate students and researchers Notes Print version record In Springer e-books Subject Hamiltonian systems. Hamiltonian operator. Differential equations, Partial. Nonlinear oscillations. MATHEMATICS -- Topology. Differential equations, Partial Hamiltonian operator Hamiltonian systems Nonlinear oscillations Form Electronic book LC no. 2007932361 ISBN 9780817646813 0817646817 9780817646806 0817646809

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