-
1
-
-
0003655368
-
Lectures on exponential decay of solutions of second-order elliptic equations: Bounds on eigenfunctions of N-Body Schr̈dinger operators
-
Princeton University Press, New Jersey
-
S. Agmon, Lectures on Exponential Decay of Solutions of Second-Order Elliptic Equations: Bounds on Eigenfunctions of N-Body Schr̈dinger Operators, Mathematical Notes, vol. 29, Princeton University Press, New Jersey, 1982.
-
(1982)
Mathematical Notes
, vol.29
-
-
Agmon, S.1
-
2
-
-
0003360898
-
Interpolation spaces. An introduction
-
Springer-Verlag, Berlin
-
J. Bergh and J. Löfström, Interpolation Spaces. An Introduction, Grundlehren der mathematischen Wissenschaften, no. 223, Springer-Verlag, Berlin, 1976.
-
(1976)
Grundlehren Der Mathematischen Wissenschaften
, Issue.223
-
-
Bergh, J.1
Löfström, J.2
-
3
-
-
0000073733
-
Scattering for the nonlinear Schrödinger equation: States close to a soliton
-
V. S. Buslaev and G. S. Perel'man, Scattering for the nonlinear Schrödinger equation: States close to a soliton, St. Petersburg Math. J. 4 (1993), no. 6, 1111-1142.
-
(1993)
St. Petersburg Math. J.
, vol.4
, Issue.6
, pp. 1111-1142
-
-
Buslaev, V.S.1
Perel'man, G.S.2
-
4
-
-
0002779183
-
On the stability of solitary waves for nonlinear Schrödinger equations
-
American Mathematical Society, Rhode Island
-
_, On the stability of solitary waves for nonlinear Schrödinger equations, Nonlinear Evolution Equations, Amer. Math. Soc. Transl. Ser. 2, vol. 164, American Mathematical Society, Rhode Island, 1995, pp. 75-98.
-
(1995)
Nonlinear Evolution Equations, Amer. Math. Soc. Transl. Ser. 2
, vol.164
, pp. 75-98
-
-
-
5
-
-
0347495345
-
On asymptotic stability of solitary waves for nonlinear Schrödinger equations
-
V. S. Buslaev and C. Sulem, On asymptotic stability of solitary waves for nonlinear Schrödinger equations, Ann. Inst. H. Poincaré Anal. Non Linéaire 20 (2003), no. 3, 419-475.
-
(2003)
Ann. Inst. H. Poincaré Anal. Non Linéaire
, vol.20
, Issue.3
, pp. 419-475
-
-
Buslaev, V.S.1
Sulem, C.2
-
6
-
-
0000090159
-
Orbital stability of standing waves for some nonlinear Schrödinger equations
-
T. Cazenave and P.-L. Lions, Orbital stability of standing waves for some nonlinear Schrödinger equations, Comm. Math. Phys. 85 (1982), no. 4, 549-561.
-
(1982)
Comm. Math. Phys.
, vol.85
, Issue.4
, pp. 549-561
-
-
Cazenave, T.1
Lions, P.-L.2
-
7
-
-
0002191120
-
Harmonic analysis on semigroups
-
M. G. Cowling, Harmonic analysis on semigroups, Ann. of Math. (2) 117 (1983), no. 2, 267-283.
-
(1983)
Ann. of Math. (2)
, vol.117
, Issue.2
, pp. 267-283
-
-
Cowling, M.G.1
-
8
-
-
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
-
9
-
-
0347633259
-
On asymptotic stability of ground states of NLS
-
_, On asymptotic stability of ground states of NLS, Rev. Math. Phys. 15 (2003), no. 8, 877-903.
-
(2003)
Rev. Math. Phys.
, vol.15
, Issue.8
, pp. 877-903
-
-
-
11
-
-
0036101479
-
On the point-particle (Newtonian) limit of the non-linear Hartree equation
-
J. Fröhlich, T.-P. Tsai, and H.-T. Yau, On the point-particle (Newtonian) limit of the non-linear Hartree equation, Comm. Math. Phys. 225 (2002), no. 2, 223-274.
-
(2002)
Comm. Math. Phys.
, vol.225
, Issue.2
, pp. 223-274
-
-
Fröhlich, J.1
Tsai, T.-P.2
Yau, H.-T.3
-
12
-
-
0001270512
-
Time decay of finite energy solutions of the nonlinear Klein-Gordon and Schrödinger equations
-
J. Ginibre and G. Velo, Time decay of finite energy solutions of the nonlinear Klein-Gordon and Schrödinger equations, Ann. Inst. H. Poincaré Phys. Théor. 43 (1985), no. 4, 399-442.
-
(1985)
Ann. Inst. H. Poincaré Phys. Théor.
, vol.43
, Issue.4
, pp. 399-442
-
-
Ginibre, J.1
Velo, G.2
-
14
-
-
0000468151
-
Stability theory of solitary waves in the presence of symmetry. I
-
M. Grillakis, J. Shatah, and W. Strauss, Stability theory of solitary waves in the presence of symmetry. I, J. Funct. Anal. 74 (1987), no. 1, 160-197.
-
(1987)
J. Funct. Anal.
, vol.74
, Issue.1
, pp. 160-197
-
-
Grillakis, M.1
Shatah, J.2
Strauss, W.3
-
16
-
-
84990619685
-
Decay estimates for Schrödinger operators
-
J.-L. Journé, 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
-
-
Journé, J.-L.1
Soffer, A.2
Sogge, C.D.3
-
17
-
-
0001138601
-
Endpoint Strichartz estimates
-
M. Keel and T. Tao, Endpoint Strichartz estimates, Amer. J. Math. 120 (1998), no. 5, 955-980.
-
(1998)
Amer. J. Math.
, vol.120
, Issue.5
, pp. 955-980
-
-
Keel, M.1
Tao, T.2
-
18
-
-
0035609368
-
Asymptotic stability of solitons for subcritical generalized KdV equations
-
Y. Martel and F. Merle, Asymptotic stability of solitons for subcritical generalized KdV equations, Arch. Ration. Mech. Anal. 157 (2001), no. 3, 219-254.
-
(2001)
Arch. Ration. Mech. Anal.
, vol.157
, Issue.3
, pp. 219-254
-
-
Martel, Y.1
Merle, F.2
-
19
-
-
0036882736
-
Stability and asymptotic stability in the energy space of the sum of N solitons for subcritical gKdV equations
-
Y. Martel, F. Merle, and T.-P. Tsai, Stability and asymptotic stability in the energy space of the sum of N solitons for subcritical gKdV equations, Comm. Math. Phys. 231 (2002), no. 2, 347-373.
-
(2002)
Comm. Math. Phys.
, vol.231
, Issue.2
, pp. 347-373
-
-
Martel, Y.1
Merle, F.2
Tsai, T.-P.3
-
20
-
-
0031285644
-
Low energy scattering for nonlinear Schrödinger equations in fractional order Sobolev spaces
-
M. Nakamura and T. Ozawa, Low energy scattering for nonlinear Schrödinger equations in fractional order Sobolev spaces, Rev. Math. Phys. 9 (1997), no. 3, 397-410.
-
(1997)
Rev. Math. Phys.
, vol.9
, Issue.3
, pp. 397-410
-
-
Nakamura, M.1
Ozawa, T.2
-
22
-
-
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 (1997), no. 2, 310-326.
-
(1997)
J. Differential Equations
, vol.141
, Issue.2
, pp. 310-326
-
-
Pillet, C.-A.1
Wayne, C.E.2
-
25
-
-
0000173206
-
On the bound states of the nonlinear Schrödinger equation with a linear potential
-
H. A. Rose and M. I. Weinstein, On the bound states of the nonlinear Schrödinger equation with a linear potential, Phys. D 30 (1988), no. 1-2, 207-218.
-
(1988)
Phys. D
, vol.30
, Issue.1-2
, pp. 207-218
-
-
Rose, H.A.1
Weinstein, M.I.2
-
26
-
-
0000301325
-
Multichannel nonlinear scattering for nonintegrable equations
-
A. Soffer and M. I. Weinstein, Multichannel nonlinear scattering for nonintegrable equations, Comm. Math. Phys. 133 (1990), no. 1, 119-146.
-
(1990)
Comm. Math. Phys.
, vol.133
, Issue.1
, pp. 119-146
-
-
Soffer, A.1
Weinstein, M.I.2
-
27
-
-
0001641727
-
Multichannel nonlinear scattering for nonintegrable equations, II. The case of anisotropic potentials and data
-
_, Multichannel nonlinear scattering for nonintegrable equations, II. The case of anisotropic potentials and data, J. Differential Equations 98 (1992), no. 2, 376-390.
-
(1992)
J. Differential Equations
, vol.98
, Issue.2
, pp. 376-390
-
-
-
29
-
-
0001684804
-
Nonlinear scattering theory at low energy
-
W. A. Strauss, Nonlinear scattering theory at low energy, J. Funct. Anal. 41 (1981), no. 1, 110-133.
-
(1981)
J. Funct. Anal.
, vol.41
, Issue.1
, pp. 110-133
-
-
Strauss, W.A.1
-
30
-
-
12344264373
-
On the asymptotic behavior of large radial data for a focusing non-linear Schrödinger equation
-
to appear in
-
T. Tao, On the asymptotic behavior of large radial data for a focusing non-linear Schrödinger equation, to appear in J. PDE and Dyn. Sys.
-
J. PDE and Dyn. Sys.
-
-
Tao, T.1
-
31
-
-
0003882441
-
-
Johann Ambrosius Earth, Heidelberg
-
H. Triebel, Interpolation Theory, Function Spaces, Differential Operators, 2nd ed., Johann Ambrosius Earth, Heidelberg, 1995.
-
(1995)
Interpolation Theory, Function Spaces, Differential Operators, 2nd Ed.
-
-
Triebel, H.1
-
32
-
-
0038349584
-
Asymptotic dynamics of nonlinear Schröinger equations with many bound states
-
T.-P. Tsai, Asymptotic dynamics of nonlinear Schröinger equations with many bound states, J. Differential Equations 192 (2003), no. 1, 225-282.
-
(2003)
J. Differential Equations
, vol.192
, Issue.1
, pp. 225-282
-
-
Tsai, T.-P.1
-
33
-
-
0036221809
-
Asymptotic dynamics of nonlinear Schrödinger equations: Resonancedominated and dispersion-dominated solutions
-
T.-P. Tsai and H.-T. Yau, Asymptotic dynamics of nonlinear Schrödinger equations: resonancedominated and dispersion-dominated solutions, Comm. Pure Appl. Math. 55 (2002), no. 2, 153-216.
-
(2002)
Comm. Pure Appl. Math.
, vol.55
, Issue.2
, pp. 153-216
-
-
Tsai, T.-P.1
Yau, H.-T.2
-
34
-
-
0038707659
-
Classification of asymptotic profiles for nonlinear Schrödinger equations with small initial data
-
_, Classification of asymptotic profiles for nonlinear Schrödinger equations with small initial data, Adv. Theor. Math. Phys. 6 (2002), no. 1, 107-139.
-
(2002)
Adv. Theor. Math. Phys.
, vol.6
, Issue.1
, pp. 107-139
-
-
-
35
-
-
0036350836
-
Relaxation of excited states in nonlinear Schrödinger equations
-
_, Relaxation of excited states in nonlinear Schrödinger equations, Int. Math. Res. Not. 2002 (2002), no. 31, 1629-1673.
-
(2002)
Int. Math. Res. Not.
, vol.2002
, Issue.31
, pp. 1629-1673
-
-
-
36
-
-
0036946822
-
Stable directions for excited states of nonlinear Schrödinger equations
-
_, Stable directions for excited states of nonlinear Schrödinger equations, Comm. Partial Differential Equations 27 (2002), no. 11-12, 2363-2402.
-
(2002)
Comm. Partial Differential Equations
, vol.27
, Issue.11-12
, pp. 2363-2402
-
-
-
37
-
-
0034349544
-
Center manifold for nonintegrable nonlinear Schrödinger equations on the line
-
R. Weder, Center manifold for nonintegrable nonlinear Schrödinger equations on the line, Comm. Math. Phys. 215 (2000), no. 2, 343-356.
-
(2000)
Comm. Math. Phys.
, vol.215
, Issue.2
, pp. 343-356
-
-
Weder, R.1
-
38
-
-
84990553584
-
Lyapunov stability of ground states of nonlinear dispersive evolution equations
-
M. I. Weinstein, Lyapunov stability of ground states of nonlinear dispersive evolution equations, Comm. Pure Appl. Math. 39 (1986), no. 1, 51-67.
-
(1986)
Comm. Pure Appl. Math.
, vol.39
, Issue.1
, pp. 51-67
-
-
Weinstein, M.I.1
-
39
-
-
84972559697
-
k,p -continuity of wave operators for Schrödinger operators
-
k,p -continuity of wave operators for Schrödinger operators, J. Math. Soc. Japan 47 (1995), no. 3, 551-581.
-
(1995)
J. Math. Soc. Japan
, vol.47
, Issue.3
, pp. 551-581
-
-
Yajima, K.1
|