-
1
-
-
0000073733
-
Scattering for the nonlinear Schrödinger equations: states close to a soliton
-
V.S. Buslaev and G.S. Perel'man, Scattering for the nonlinear Schrödinger equations: states close to a soliton, St. Petersburg Math J. 4 (1993) 1111-1142.
-
(1993)
St. Petersburg Math J.
, vol.4
, pp. 1111-1142
-
-
Buslaev, V.S.1
Perel'man, G.S.2
-
2
-
-
0002779183
-
On the stability of solitary waves for nonlinear Schrödinger equations. Nonlinear evolution equations
-
164 Amer. Math. Soc., Providence, RI
-
V.S. Buslaev and G.S. Perel'man, On the stability of solitary waves for nonlinear Schrödinger equations. Nonlinear evolution equations, 75-98, Amer. Math. Soc. Transl. Ser. 2, 164, Amer. Math. Soc., Providence, RI, 1995.
-
(1995)
Amer. Math. Soc. Transl. Ser.
, vol.2
, pp. 75-98
-
-
Buslaev, V.S.1
Perel'man, G.S.2
-
4
-
-
0035595894
-
Stabilization of solutions to nonlinear Schrödinger equations
-
S. Cuccagna, Stabilization of solutions to nonlinear Schrödinger equations. Comm. Pure Appl. Math. 54 (2001), no. 9, 1110-1145.
-
(2001)
Comm. Pure Appl. Math.
, vol.54
, Issue.9
, pp. 1110-1145
-
-
Cuccagna, S.1
-
6
-
-
84990623184
-
Linearized instability for nonlinear Schrödinger and Klein-Gordon equations
-
M. Grillakis: Linearized instability for nonlinear Schrödinger and Klein-Gordon equations. Comm. Pure Appl. Math. 41 (1988), no. 6, 747-774.
-
(1988)
Comm. Pure Appl. Math.
, vol.41
, Issue.6
, pp. 747-774
-
-
Grillakis, M.1
-
7
-
-
84990563336
-
Analysis of the linearization around a critical point of an infinite dimensional Hamiltonian system
-
M. Grillakis: Analysis of the linearization around a critical point of an infinite dimensional Hamiltonian system, Comm. Pure Appl. Math. 43 (1990), 299-333.
-
(1990)
Comm. Pure Appl. Math.
, vol.43
, pp. 299-333
-
-
Grillakis, M.1
-
8
-
-
84990619685
-
Decay estimates for Schrödinger operators
-
J.-L. Journe, A. Soffer and C.D. Sogge, Decay estimates for Schrödinger operators. Comm. Pure Appl. Math. 44 (1991), no. 5, 573-604.
-
(1991)
Comm. Pure Appl. Math.
, vol.44
, Issue.5
, pp. 573-604
-
-
Journe, J.-L.1
Soffer, A.2
Sogge, C.D.3
-
9
-
-
0001322178
-
Invariant manifolds for a class of dispersive, Hamiltonian, partial differential equations
-
C. A. Pillet and C. E. Wayne: Invariant manifolds for a class of dispersive, Hamiltonian, partial differential equations. J. Differential Equations 141, no. 2, (1997), 310-326.
-
(1997)
J. Differential Equations
, vol.141
, Issue.2
, pp. 310-326
-
-
Pillet, C.A.1
Wayne, C.E.2
-
10
-
-
0001420204
-
Instability of nonlinear bound states
-
J. Shatah and W. Strauss: Instability of nonlinear bound states. Comm. Math. Phys. 100 (1985), no. 2, 173-190.
-
(1985)
Comm. Math. Phys.
, vol.100
, Issue.2
, pp. 173-190
-
-
Shatah, J.1
Strauss, W.2
-
11
-
-
0000978674
-
Spectral condition for instability
-
(South Hadley, MA, 1998), Contemp. Math. 255 Amer. Math. Soc., Providence, RI
-
J. Shatah and W. Strauss: Spectral condition for instability. Nonlinear PDE's, dynamics and continuum physics (South Hadley, MA, 1998), 189-198, Contemp. Math., 255, Amer. Math. Soc., Providence, RI, 2000.
-
(2000)
Nonlinear PDE's, dynamics and continuum physics
, pp. 189-198
-
-
Shatah, J.1
Strauss, W.2
-
12
-
-
0000301325
-
Multichannel nonlinear scattering theory for nonintegrable equations I, II
-
A. Soffer and M.I. Weinstein, Multichannel nonlinear scattering theory for nonintegrable equations I, II, Comm. Math. Phys. 133 (1990), 119-146
-
(1990)
Comm. Math. Phys.
, vol.133
, pp. 119-146
-
-
Soffer, A.1
Weinstein, M.I.2
-
14
-
-
0033460613
-
Resonances, radiation damping and instability in Hamiltonian nonlinear wave equations
-
A. Soffer and M.I. Weinstein, Resonances, radiation damping and instability in Hamiltonian nonlinear wave equations, Invent. math. 136, (1999), 9-74.
-
(1999)
Invent. math.
, vol.136
, pp. 9-74
-
-
Soffer, A.1
Weinstein, M.I.2
-
16
-
-
0036221809
-
Asymptotic dynamics of nonlinear Schrödinger equations: resonance dominated and dispersion dominated solutions
-
T.-P. Tsai and H.-T. Yau: Asymptotic dynamics of nonlinear Schrödinger equations: resonance dominated and dispersion dominated solutions, Comm. Pure Appl. Math. 55 (2002) 153-216.
-
(2002)
Comm. Pure Appl. Math.
, vol.55
, pp. 153-216
-
-
Tsai, T.-P.1
Yau, H.-T.2
-
17
-
-
85036700736
-
Relaxation of excited states in nonlinear Schrödinger equations
-
to appear
-
T.-P. Tsai and H.-T. Yau: Relaxation of excited states in nonlinear Schrödinger equations, IMRN, to appear.
-
IMRN
-
-
Tsai, T.-P.1
Yau, H.-T.2
-
18
-
-
85036695052
-
Stable directions for excited states of nonlinear Schrödinger equations
-
to appear
-
T.-P. Tsai and H.-T. Yau: Stable directions for excited states of nonlinear Schrödinger equations, Comm. P.D.E., to appear.
-
(2000)
Comm. P.D.E.
-
-
Tsai, T.-P.1
Yau, H.-T.2
-
19
-
-
84972559697
-
k,p continuity of wave operators for Schrödinger operators
-
k,p continuity of wave operators for Schrödinger operators, J. Math. Soc. Japan 47, no. 3, (1995), 551-581.
-
(1995)
J. Math. Soc. Japan
, vol.47
, Issue.3
, pp. 551-581
-
-
Yajima, K.1
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