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On the growth in time of higher Sobolev norms of smooth solutions of Hamiltonian PDE
J. Bourgain · 1996
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Oscillations in space-periodic nonlinear Schrödinger equations
S. B. Kuksin · 1997
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On the growth of high sobolev norms of solutions for kdv and schrödinger equations
G. Staffilani · 1997
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Quadratic forms for a 2 2 -D semilinear Schrödinger equation
G. Staffilani · 1997
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Quasi-periodic solutions of Hamiltonian perturbations of 2D linear Schrödinger equations
J. Bourgain · 1998
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Problems in Hamiltonian PDE’s
J. Bourgain · 1999
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Bilinear estimates and applications to 2D NLS
J. E. Colliander, J.-M. Delort, C. E. Kenig, and G. Staffilani · 2001
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Forme normale pour NLS en dimension quelconque
D. Bambusi and B. Grébert · 2003
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Remarks on stability and diffusion in high-dimensional Hamiltonian systems and partial differential equations
J. Bourgain · 2004
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Birkhoff normal form for partial differential equations with tame modulus
D. Bambusi and B. Grébert · 2006
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The growth in time of higher Sobolev norms of solutions to Schrödinger equations on compact Riemannian manifolds
S. Zhong · 2008
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Energy cascade for nls on 𝕋 d \mathbb{T}^{d}
R. Carles and E. Faou · 2010
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Transfer of energy to high frequencies in the cubic defocusing nonlinear Schrödinger equation
J. Colliander, M. Keel, G. Staffilani, H. Takaoka, and T. Tao · 2010
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Bounds on Sobolev norms for the defocusing nonlinear Schrödinger equation on general flat tori
F. Catoire and W.-M. Wang · 2010
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KAM for the nonlinear Schrödinger equation
L. H. Eliasson and S. B. Kuksin · 2010
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A Nekhoroshev type theorem for the nonlinear Schrödinger equation on the d-dimensional torus
V. Sohinger · 2010
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Effective integrable dynamics for some nonlinear wave equation
S. Grellier and P. Gerard · 2011
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Global and dynamical aspects of nonlinear schrödinger equations on compact manifolds
Z. Hani · 2011
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Explicit formula for the solution of the Szegö equation on the real line and applications
O. Pocovnicu · 2011
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Bounds on the growth of high Sobolev norms of solutions to nonlinear Schrödinger equations on S 1 S^{1}
V. Sohinger · 2011
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E. Faou and B. Grebert · 2010
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The cubic Szegő equation
P. Gérard and S. Grellier · 2010
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Nonlinear Schrödinger equations and their spectral semi-discretizations over long times
L. Gauckler and C. Lubich · 2010
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Bounds on the growth of high Sobolev norms of solutions to 2D Hartree Equations
V. Sohinger · 2010
Cited alongside, same era.
J. Colliander, S. Kwon, and T. Oh · 2012
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Growth of sobolev norms in the cubic defocusing nonlinear schrödinger equation
M. Guardia and V. Kaloshin · 2012
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Long-time instability and unbounded Sobolev orbits for some periodic nonlinear Schrödinger equations
Z. Hani · 2012
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First and second order approximations for a nonlinear wave equation
O. Pocovnicu · 2012
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