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Keywords
(9)
Graph Transformation
Invariant Manifold
Linear Operator
Lorentz Transformation
Mathematical Analysis
nonlinear kleingordon equation
Solitary Wave
Stationary Solution
Ground State
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Invariant manifolds around soliton manifolds for the nonlinear KleinGordon equation
Invariant manifolds around soliton manifolds for the nonlinear KleinGordon equation,Kenji Nakanishi,Wilhelm Schlag
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Invariant manifolds around soliton manifolds for the nonlinear KleinGordon equation
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Kenji Nakanishi
,
Wilhelm Schlag
We construct centerstable and centerunstable manifolds, as well as stable and unstable manifolds, for the
nonlinear KleinGordon equation
with a focusing energy subcritical nonlinearity, associated with a family of solitary waves which is generated from any radial
stationary solution
by the action of all Lorentz transforms and spatial translations. The construction is based on the graph transform (or Hadamard) approach, which requires less spectral information on the linearized operator, and less decay of the nonlinearity, than the LyapunovPerron method employed previously in this context. The only assumption on the
stationary solution
is that the kernel of the linearized operator is spanned by its spatial derivatives, which is known to hold for the ground states. The main novelty of this paper lies with the fact that the graph transform method is carried out in the presence of modulation parameters corresponding to the symmetries.
Published in 2011.
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References
(7)
New Estimates for a TimeDependent Schroedinger Equation
(
Citations: 4
)
Marius Beceanu
Published in 2009.
Nonlinear scalar field equations, I existence of a ground state
(
Citations: 385
)
H. Berestycki
,
P.L. Lions
Journal:
Archive for Rational Mechanics and Analysis  ARCH RATION MECH ANAL
, vol. 82, no. 4, pp. 313345, 1983
A spectral mapping theorem and invariant manifolds for nonlinear Schrodinger equations
(
Citations: 17
)
F. Gesztesy
,
C. K. R. T. Jones
,
Y. Latushkin
,
M. Stanislavova
Journal:
Indiana University Mathematics Journal  INDIANA UNIV MATH J
, vol. 49, no. 1, pp. 00, 2000
Global dynamics above the ground state for the nonlinear KleinGordon equation without a radial assumption
(
Citations: 2
)
Kenji Nakanishi
,
Wilhelm Schlag
Published in 2010.
Stable manifolds for an orbitally unstable nonlinear Schrödinger equation
(
Citations: 13
)
Wilhelm Schlag
Journal:
Annals of Mathematics  ANN MATH
, vol. 169, no. 1, pp. 139227, 2009