A KAM Theorem with Applications to Partial Differential Equations of Higher Dimensions
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[1] Dario Bambusi,et al. Birkhoff normal form for partial differential equations with tame modulus , 2006 .
[2] Xiaoping Yuan,et al. Quasi-periodic solutions of completely resonant nonlinear wave equations ✩ , 2006 .
[3] Xiaoping Yuan,et al. Quasi-periodic solutions of nonlinear wave equations with a prescribed potential , 2006 .
[4] Jiangong You,et al. A KAM Theorem for Hamiltonian Partial Differential Equations in Higher Dimensional Spaces , 2006 .
[5] M. Procesi. QUASI-PERIODIC SOLUTIONS FOR COMPLETELY RESONANT NON-LINEAR WAVE EQUATIONS IN 1D AND 2D , 2005 .
[6] Jean Bourgain,et al. Green's Function Estimates for Lattice Schrödinger Operators and Applications. , 2004 .
[7] M. Berti,et al. Cantor families of periodic solutions for completely resonant nonlinear wave equations , 2004, math/0410618.
[8] G. Gentile,et al. Periodic Solutions for Completely Resonant Nonlinear Wave Equations with Dirichlet Boundary Conditions , 2004, math/0402262.
[9] Xiaoping Yuan. Quasi-periodic solutions of nonlinear Schrödinger equations of higher dimension , 2003 .
[10] Dario Bambusi,et al. A Birkhoff-Lewis-Type Theorem for Some Hamiltonian PDEs , 2003, SIAM J. Math. Anal..
[11] Dario Bambusi,et al. Birkhoff Normal Form for Some Nonlinear PDEs , 2003 .
[12] J. Pöschel. On the construction of almost periodic solutions for a nonlinear Schrödinger equation , 2002, Ergodic Theory and Dynamical Systems.
[13] Dario Bambusi,et al. Families of Periodic Solutions of Resonant PDEs , 2001, J. Nonlinear Sci..
[14] J. Bricmont,et al. Renormalization Group¶and the Melnikov Problem for PDE's , 2001, math-ph/0102036.
[15] Luigi Chierchia,et al. KAM Tori for 1D Nonlinear Wave Equations¶with Periodic Boundary Conditions , 1999, chao-dyn/9904036.
[16] Jean Bourgain,et al. QUASI-PERIODIC SOLUTIONS OF HAMILTONIAN PERTURBATIONS OF 2D LINEAR SCHRODINGER EQUATIONS , 1998 .
[17] J. Pöschel,et al. Quasi-periodic solutions for a nonlinear wave equation , 1996 .
[18] Alexander I. Bobenko,et al. The nonlinear Klein-Gordon equation on an interval as a perturbed Sine-Gordon equation , 1995 .
[19] Walter Craig,et al. Newton's method and periodic solutions of nonlinear wave equations , 1993 .
[20] Sergej B. Kuksin,et al. Nearly Integrable Infinite-Dimensional Hamiltonian Systems , 1993 .
[21] Vũ Quôc Phóng,et al. The operator equationAX−XB=C with unbounded operatorsA andB and related abstract Cauchy problems , 1991 .
[22] C. Eugene Wayne,et al. Periodic and quasi-periodic solutions of nonlinear wave equations via KAM theory , 1990 .
[23] W. Ziemer. Weakly differentiable functions , 1989 .
[24] Sergei Kuksin,et al. Hamiltonian perturbations of infinite-dimensional linear systems with an imaginary spectrum , 1987 .
[25] J. Fröhlich,et al. Absence of diffusion in the Anderson tight binding model for large disorder or low energy , 1983 .
[26] Haim Brezis,et al. Periodic solutions of nonlinear vibrating strings and duality principles , 1983 .
[27] A. M. Samoilenko,et al. Methods of Accelerated Convergence in Nonlinear Mechanics , 1976 .
[28] Jurgen Poschel. Quasi-periodic solutions for a nonlinear wave equation , 2007 .
[29] Xiaoping Yuan. INVARIANT MANIFOLD OF HYPERBOLIC-ELLIPTIC TYPE FOR NONLINEAR WAVE EQUATION , 2003 .
[30] S. Kuksin. Elements of a qualitative theory of Hamiltonian PDEs , 1998 .
[31] J. Bourgain. On Melnikov’s persistency problem , 1997 .
[32] J. Pöschel,et al. Invariant Cantor manifolds of quasi-periodic oscillations for a nonlinear Schrodinger equation , 1996 .
[33] Jean Bourgain,et al. Construction of quasi-periodic solutions for Hamiltonian perturbations of linear equations and applications to nonlinear PDE , 1994 .
[34] B. Lidskii,et al. Periodic solutions of the equation utt — uxx + u3 = 0 , 1988 .
[35] V. Arnold. Mathematical Methods of Classical Mechanics , 1974 .
[36] Peter Lancaster,et al. The theory of matrices , 1969 .
[37] Tosio Kato. Perturbation theory for linear operators , 1966 .
[38] Fernando Bertolini,et al. Le funzioni misurabili di ultrafiltro come elementi di un reticolo lineare numerabilmente completo , 1961 .