Geometric & Functional Analysis GAFA

, Volume 5, Issue 4, pp 629–639 | Cite as

Construction of periodic solutions of nonlinear wave equations in higher dimension

  • J. Bourgain


Wave Equation Periodic Solution High Dimension Nonlinear Wave Nonlinear Wave Equation 
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  1. [B1]J. Bourgain, Construction of quasi-periodic solutions for Hamiltonian perturbations of linear equations and applications to nonlinear PDE, IMRN 11 (1994), 475–497.Google Scholar
  2. [B2]J. Bourgain Quasi-periodic solutions of Hamiltonian perturbations of 2D linear Schrödinger equations, preprint IHES (1994).Google Scholar
  3. [CW1]W. Craig, C. Wayne, Newton's method and periodic solutions of nonlinear wave equations, Comm. Pure and Applied Math. 46 (1993), 1409–1501.Google Scholar
  4. [CW2]W. Craig, C. Wayne, Nonlinear waves and the 1∶1∶2 resonance, Preprint.Google Scholar
  5. [K]S. Kuksin, Nearly integrable infinite-dimensional Hamiltonian systems, Springer Lecture Notes in Math. 1556 (1993).Google Scholar

Copyright information

© Birkhäuser Verlag 1994

Authors and Affiliations

  • J. Bourgain
    • 1
  1. 1.Institute for Advanced StudyPrincetonUSA

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