-
1
-
-
23244446904
-
Critical nonlinear Schrödinger Equation
-
T. Cazenave, F.B. Weissler, Critical nonlinear Schrödinger Equation, Non. Anal. TMA, 14 (1990), 807-836.
-
(1990)
Non. Anal. TMA
, vol.14
, pp. 807-836
-
-
Cazenave, T.1
Weissler, F.B.2
-
2
-
-
34250084341
-
Fourier restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations
-
J. Bourgain, Fourier restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations, Part I, Geometric and Funct. Anal. 3 (1993), 107-156.
-
(1993)
Part I, Geometric and Funct. Anal.
, vol.3
, pp. 107-156
-
-
Bourgain, J.1
-
3
-
-
1842450240
-
On the growth in time of higher order Sobolev norms of smooth solutions of Hamiltonian PDE
-
J. Bourgain, On the growth in time of higher order Sobolev norms of smooth solutions of Hamiltonian PDE, IMRN 6 (1996), 277-304.
-
(1996)
IMRN
, vol.6
, pp. 277-304
-
-
Bourgain, J.1
-
4
-
-
0000193318
-
Refinements of strichartz inequality and applications to 2d-NLS with critical nonlinearity
-
J. Bourgain, Refinements of Strichartz Inequality and Applications to 2d-NLS With Critical Nonlinearity, Inter. Math. Res. Not., (1998), p. 253-284.
-
(1998)
Inter. Math. Res. Not.
, pp. 253-284
-
-
Bourgain, J.1
-
5
-
-
0000046869
-
Scattering in the energy space and below for 3D NLS
-
J. Bourgain, Scattering in the energy space and below for 3D NLS, J. Anal. Math. 75 (1998), 267-297.
-
(1998)
J. Anal. Math.
, vol.75
, pp. 267-297
-
-
Bourgain, J.1
-
7
-
-
0015249887
-
3 = 0 and a variational characterization of other solutions
-
3 = 0 and a variational characterization of other solutions, Arch. Rat. Mech. Anal. 46 (1972), 81-95.
-
(1972)
Arch. Rat. Mech. Anal.
, vol.46
, pp. 81-95
-
-
Coffman, C.V.1
-
8
-
-
23044525820
-
Bilinear estimates and applications to 2D NLS
-
J. Colliander, J. Delort, C. Kenig, G. Staffilani, Bilinear estimates and applications to 2D NLS, Trans. Amer. Math. Soc. 353 (2001), 3307-3325.
-
(2001)
Trans. Amer. Math. Soc.
, vol.353
, pp. 3307-3325
-
-
Colliander, J.1
Delort, J.2
Kenig, C.3
Staffilani, G.4
-
9
-
-
0012959529
-
Almost conservation laws and global rough solutions to a nonlinear Schrödinger equation
-
J. Colliander, M. Keel, G. Staffilani, H. Takaoka, T. Tao, Almost conservation laws and global rough solutions to a nonlinear Schrödinger equation, submitted, Math. Res. Letters.
-
Math. Res. Letters
-
-
Colliander, J.1
Keel, M.2
Staffilani, G.3
Takaoka, H.4
Tao, T.5
-
10
-
-
0012906787
-
Sharp global well-posedness for periodic and non-periodic KdV and mKdV on R and T
-
J. Colliander, M. Keel, G. Staffilani, H. Takaoka, T. Tao, Sharp global well-posedness for periodic and non-periodic KdV and mKdV on R and T, to appear, J. Amer. Math. Soc.
-
J. Amer. Math. Soc.
-
-
Colliander, J.1
Keel, M.2
Staffilani, G.3
Takaoka, H.4
Tao, T.5
-
11
-
-
2642562683
-
Multilinear estimates for periodic KdV equations, and applications
-
J. Colliander, M. Keel, G. Staffilani, H. Takaoka, T. Tao, Multilinear estimates for periodic KdV equations, and applications, submitted, J. Funct. Anal.
-
J. Funct. Anal.
-
-
Colliander, J.1
Keel, M.2
Staffilani, G.3
Takaoka, H.4
Tao, T.5
-
12
-
-
0012952192
-
Global well-posedness result for KdV in Sobolev spaces of negative index
-
J. Colliander, M. Keel, G. Staffilani, H. Takaoka, T. Tao, Global well-posedness result for KdV in Sobolev spaces of negative index, EJDE 2001 (2001) No 26, 1-7.
-
(2001)
EJDE
, vol.2001
, Issue.26
, pp. 1-7
-
-
Colliander, J.1
Keel, M.2
Staffilani, G.3
Takaoka, H.4
Tao, T.5
-
13
-
-
0036345464
-
Global well-posedness for the Schrödinger equations with derivative
-
J. Colliander, M. Keel, G. Staffilani, H. Takaoka, T. Tao, Global well-posedness for the Schrödinger equations with derivative, Siam J. Math. Anal. 33 (2001), 649-669.
-
(2001)
Siam J. Math. Anal.
, vol.33
, pp. 649-669
-
-
Colliander, J.1
Keel, M.2
Staffilani, G.3
Takaoka, H.4
Tao, T.5
-
14
-
-
0012910981
-
A refined global well-posedness result for the Schrödinger equations with derivative
-
J. Colliander, M. Keel, G. Staffilani, H. Takaoka, T. Tao, A refined global well-posedness result for the Schrödinger equations with derivative, to appear, Siam J. Math.
-
Siam J. Math.
-
-
Colliander, J.1
Keel, M.2
Staffilani, G.3
Takaoka, H.4
Tao, T.5
-
17
-
-
33747492074
-
Le probléme de Cauchy pour des EDP semi-linéaires périodiques en variables d'espace, Séminaire Bourbaki 1994/1995
-
Exp. 796
-
J. Ginibre, Le probléme de Cauchy pour des EDP semi-linéaires périodiques en variables d'espace, Séminaire Bourbaki 1994/1995, Astérisque 237 (1996), Exp. 796, 163-187.
-
(1996)
Astérisque
, vol.237
, pp. 163-187
-
-
Ginibre, J.1
-
18
-
-
0001138601
-
Endpoint strichartz estimates
-
M. Keel, T. Tao, Endpoint Strichartz Estimates, Amer. Math. J. 120 (1998), 955-980.
-
(1998)
Amer. Math. J.
, vol.120
, pp. 955-980
-
-
Keel, M.1
Tao, T.2
-
19
-
-
0001646511
-
1+1 for rough data
-
1+1 for rough data, IMRN 21 (1998), 1117-1156.
-
(1998)
IMRN
, vol.21
, pp. 1117-1156
-
-
Keel, M.1
Tao, T.2
-
21
-
-
0001442617
-
On the ill-posedness of some canonical dispersive equations
-
C. Kenig, G. Ponce, L. Vega, On the ill-posedness of some canonical dispersive equations, Duke Math. J. 3 (2001), 617-633.
-
(2001)
Duke Math. J.
, vol.3
, pp. 617-633
-
-
Kenig, C.1
Ponce, G.2
Vega, L.3
-
22
-
-
0012910983
-
Stability of the blowup profile and lower bounds for blowup rate for the critical generalized KdV equation
-
Y. Martel, F. Merle, Stability of the blowup profile and lower bounds for blowup rate for the critical generalized KdV equation, to appear, Annals of Math.
-
Annals of Math
-
-
Martel, Y.1
Merle, F.2
-
23
-
-
0001304838
-
Energy scattering for non-linear Klein-Gordon and Schrödinger equations in spatial dimensions 1 and 2
-
K. Nakanishi, Energy scattering for non-linear Klein-Gordon and Schrödinger equations in spatial dimensions 1 and 2, JFA 169 (1999), 201-225.
-
(1999)
JFA
, vol.169
, pp. 201-225
-
-
Nakanishi, K.1
-
24
-
-
0041157182
-
On the growth of high Sobolev norms of solutions for KdV and Schrödinger equations
-
G. Staffilani, On the growth of high Sobolev norms of solutions for KdV and Schrödinger equations, Duke Math J. 86 (1997), 109-142.
-
(1997)
Duke Math J.
, vol.86
, pp. 109-142
-
-
Staffilani, G.1
-
25
-
-
0000237067
-
2 solutions for nonlinear Schrödinger equations and nonlinear groups
-
2 solutions for nonlinear Schrödinger equations and nonlinear groups, Funk. Ekva. 30 (1987), 115-125.
-
(1987)
Funk. Ekva.
, vol.30
, pp. 115-125
-
-
Tsutsumi, Y.1
-
26
-
-
0000686130
-
Modulational stability of ground states of nonlinear Schrödinger equations
-
M. Weinstein, Modulational stability of ground states of nonlinear Schrödinger equations, SIAM J. Math. Anal. 16 (1985), 472-491.
-
(1985)
SIAM J. Math. Anal.
, vol.16
, pp. 472-491
-
-
Weinstein, M.1
-
27
-
-
84990553584
-
Lyapunov stability of ground states of nonlinear dispersive equations
-
M. Weinstein, Lyapunov stability of ground states of nonlinear dispersive equations, CPAM 39 (1986), 51-68.
-
(1986)
CPAM
, vol.39
, pp. 51-68
-
-
Weinstein, M.1
|