-
1
-
-
0003655368
-
-
Mathematical Notes, Princeton University Press, Princeton, N.J.; University of Tokyo Press, Tokyo
-
Agmon, S. Lectures on exponential decay of solutions of second-order elliptic equations: bounds on eigenfunctions of N-body Schrödinger operators. Mathematical Notes, 29. Princeton University Press, Princeton, N.J.; University of Tokyo Press, Tokyo, 1982.
-
(1982)
Lectures on exponential decay of solutions of second-order elliptic equations: bounds on eigenfunctions of N-body Schrödinger operators
, vol.29
-
-
Agmon, S.1
-
2
-
-
0000246714
-
Construction of blowup solutions for the nonlinear Schrödinger equation with critical nonlinearity
-
Bourgain, J.; Wang, W. Construction of blowup solutions for the nonlinear Schrödinger equation with critical nonlinearity. Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 25 (1997), no. 1-2, 197-215 (1998).
-
(1997)
Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4)
, vol.25
, Issue.1-2
, pp. 197-215
-
-
Bourgain, J.1
Wang, W.2
-
3
-
-
0002779183
-
On the stability of solitary waves for nonlinear Schrödinger equations
-
American Mathematical Society Translations, Series 2, American Mathematical Society, Providence, R.I.
-
Buslaev, V. S.; Perel'man, G. S. On the stability of solitary waves for nonlinear Schrödinger equations. Nonlinear evolution equations, 75-98. American Mathematical Society Translations, Series 2, 164. American Mathematical Society, Providence, R.I., 1995.
-
(1995)
Nonlinear evolution equations
, vol.164
, pp. 75-98
-
-
Buslaev, V.S.1
Perel'man, G.S.2
-
4
-
-
10844227674
-
-
Courant Lecture Notes in Mathematics, New York University, Courant Institute of Mathematical Sciences, New York; American Mathematical Society, Providence, R.I
-
Cazenave, T. Semilinear Schrödinger equations. Courant Lecture Notes in Mathematics, 10. New York University, Courant Institute of Mathematical Sciences, New York; American Mathematical Society, Providence, R.I., 2003.
-
(2003)
Semilinear Schrödinger equations
, vol.10
-
-
Cazenave, T.1
-
5
-
-
0000090159
-
Orbital stability of standing waves for some nonlinear Schrödinger equations
-
Cazenave, T.; Lions, P.-L. 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
-
6
-
-
33749315576
-
Construction of solutions to the subcritical gKdV equations with a given asymptotical behavior
-
Côte, R. Construction of solutions to the subcritical gKdV equations with a given asymptotical behavior. J. Funct. Anal. 241 (2006), no. 1, 143-211.
-
(2006)
J. Funct. Anal.
, vol.241
, Issue.1
, pp. 143-211
-
-
Côte, R.1
-
7
-
-
33847732573
-
Mean field dynamics of boson stars
-
Elgart, A.; Schlein, B. Mean field dynamics of boson stars. Comm. Pure Appl. Math. 60 (2007), no. 4, 500-545.
-
(2007)
Comm. Pure Appl. Math.
, vol.60
, Issue.4
, pp. 500-545
-
-
Elgart, A.1
Schlein, B.2
-
8
-
-
79551496714
-
Derivation of the nonlinear Schrödinger equation from a many body Coulomb system
-
Erdös, L.; Yau, H.-T. Derivation of the nonlinear Schrödinger equation from a many body Coulomb system. Adv. Theor. Math. Phys. 5 (2001), no. 6, 1169-1205.
-
(2001)
Adv. Theor. Math. Phys.
, vol.5
, Issue.6
, pp. 1169-1205
-
-
Erdös, L.1
Yau, H.-T.2
-
9
-
-
0036101479
-
On the point-particle (Newtonian) limit of the non-linear Hartree equation
-
Fröhlich, J.; Tsai, T-P.; Yau, H-T. 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
-
10
-
-
34948859449
-
Relaxation of solitons in nonlinear Schrödinger equations with potential
-
Gang, Z.; Sigal, I. M. Relaxation of solitons in nonlinear Schrödinger equations with potential. Adv. Math. 216 (2007), no. 2, 443-490.
-
(2007)
Adv. Math.
, vol.216
, Issue.2
, pp. 443-490
-
-
Gang, Z.1
Sigal, I.M.2
-
11
-
-
0001632973
-
Long range scattering for nonlinear Schrödinger equations and Hartree equations in space dimension n ≥ 2
-
Ginibre, J.; Ozawa, T. Long range scattering for nonlinear Schrödinger equations and Hartree equations in space dimension n ≥ 2. Comm. Math. Phys. 151 (1993), no. 3, 619-645.
-
(1993)
Comm. Math. Phys.
, vol.151
, Issue.3
, pp. 619-645
-
-
Ginibre, J.1
Ozawa, T.2
-
12
-
-
0000326517
-
On the scattering in Gevrey classes for the subcritical Hartree and Schrödinger equations
-
Hayashi, N.; Kato, K.; Naumkin, P. I. On the scattering in Gevrey classes for the subcritical Hartree and Schrödinger equations. Ann. Scuola. Norm. Sup. Pisa Cl. Sci. (4) 27 (1998), no. 3-4, 483-497.
-
(1998)
Ann. Scuola. Norm. Sup. Pisa Cl. Sci. (4)
, vol.27
, Issue.3-4
, pp. 483-497
-
-
Hayashi, N.1
Kato, K.2
Naumkin, P.I.3
-
14
-
-
38349190717
-
Renormalization and blow up for charge one equivariant critical wave maps
-
Krieger, J.; Schlag, W.; Tataru, D. Renormalization and blow up for charge one equivariant critical wave maps. Invent. Math. 171 (2008), no. 3, 543-615.
-
(2008)
Invent. Math.
, vol.171
, Issue.3
, pp. 543-615
-
-
Krieger, J.1
Schlag, W.2
Tataru, D.3
-
15
-
-
75949130236
-
-
Uniqueness of ground states for pseudo-relativistic Hartree equations. Preprint
-
Lenzmann, E. Uniqueness of ground states for pseudo-relativistic Hartree equations. Preprint.
-
-
-
Lenzmann, E.1
-
16
-
-
84916181784
-
Existence and uniqueness of the minimizing solution of Choquard's nonlinear equation
-
(1977)
-
Lieb, E. H. Existence and uniqueness of the minimizing solution of Choquard's nonlinear equation. Studies in Appl. Math. 57 (1976/77), no. 2, 93-105.
-
(1976)
Studies in Appl. Math.
, vol.57
, Issue.2
, pp. 93-105
-
-
Lieb, E.H.1
-
17
-
-
85030707196
-
The concentration-compactness principle in the calculus of variations. The locally compact case. I
-
Lions, P.-L. The concentration-compactness principle in the calculus of variations. The locally compact case. I. Ann. Inst. H. Poincaré Anal. Non Linéaire 1 (1984), no. 2, 109-145.
-
(1984)
Ann. Inst. H. Poincaré Anal. Non Linéaire
, vol.1
, Issue.2
, pp. 109-145
-
-
Lions, P.-L.1
-
18
-
-
27544509563
-
Asymptotic N-soliton-like solutions of the subcritical and critical generalized Korteweg-de Vries equations
-
Martel, Y. Asymptotic N-soliton-like solutions of the subcritical and critical generalized Korteweg-de Vries equations. Amer. J. Math. 127 (2005), no. 5, 1103-1140.
-
(2005)
Amer. J. Math.
, vol.127
, Issue.5
, pp. 1103-1140
-
-
Martel, Y.1
-
19
-
-
33750213593
-
Multi solitary waves for nonlinear Schrödinger equations
-
Martel, Y.; Merle, F. Multi solitary waves for nonlinear Schrödinger equations. Ann. Inst. H. Poincaré Anal. Non Linéaire 23 (2006), no. 6, 849-864.
-
(2006)
Ann. Inst. H. Poincaré Anal. Non Linéaire
, vol.23
, Issue.6
, pp. 849-864
-
-
Martel, Y.1
Merle, F.2
-
20
-
-
58149483712
-
Stability of two soliton collision for nonintegrable gKdV equations
-
Martel, Y.; Merle, F. Stability of two soliton collision for nonintegrable gKdV equations. Comm. Math. Phys. 286 (2009), no. 1, 39-79.
-
(2009)
Comm. Math. Phys.
, vol.286
, Issue.1
, pp. 39-79
-
-
Martel, Y.1
Merle, F.2
-
21
-
-
0036882736
-
Stability and asymptotic stability in the energy space of the sum of N solitons for subcritical gKdV equations
-
Martel, Y.; Merle, F.; Tsai, T-P. 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
-
22
-
-
33746039746
-
Stability in H1 of the sum of K solitary waves for some non-linear Schrödinger equations
-
Martel, Y.; Merle, F.; Tsai, T-P. Stability in H1 of the sum of K solitary waves for some non-linear Schrödinger equations. Duke Math. J. 133 (2006), no. 3, 405-466.
-
(2006)
Duke Math. J.
, vol.133
, Issue.3
, pp. 405-466
-
-
Martel, Y.1
Merle, F.2
Tsai, T.-P.3
-
23
-
-
0001337201
-
Construction of solutions with exactly k blow-up points for the Schrödinger equation with critical nonlinearity
-
Merle, F. Construction of solutions with exactly k blow-up points for the Schrödinger equation with critical nonlinearity. Comm. Math. Phys. 129 (1990), no. 2, 223-240.
-
(1990)
Comm. Math. Phys.
, vol.129
, Issue.2
, pp. 223-240
-
-
Merle, F.1
-
24
-
-
0041350485
-
Sharp upper bound on the blow-up rate for the critical nonlinear Schrödinger equation
-
Merle, F.; Raphaël, P. Sharp upper bound on the blow-up rate for the critical nonlinear Schrödinger equation. Geom. Funct. Anal. 13 (2003), no. 3, 591-642.
-
(2003)
Geom. Funct. Anal.
, vol.13
, Issue.3
, pp. 591-642
-
-
Merle, F.1
Raphaël, P.2
-
25
-
-
11844298384
-
Dispersive analysis of charge transfer models
-
Rodnianski, I.; Schlag, W.; Soffer, A. Dispersive analysis of charge transfer models. Comm. Pure Appl. Math. 58 (2005), no. 2, 149-216.
-
(2005)
Comm. Pure Appl. Math.
, vol.58
, Issue.2
, pp. 149-216
-
-
Rodnianski, I.1
Schlag, W.2
Soffer, A.3
-
26
-
-
0003405464
-
-
Applied Mathematical Sciences, Springer, New York
-
Sulem, C.; Sulem, P.-L. The nonlinear Schrödinger equation. Self-focusing and wave collapse. Applied Mathematical Sciences, 139. Springer, New York, 1999.
-
(1999)
The nonlinear Schrödinger equation. Self-focusing and wave collapse
, vol.139
-
-
Sulem, C.1
Sulem, P.-L.2
-
27
-
-
75949089972
-
-
A global compact attractor for high-dimensional defocusing non-linear Schrödinger equations with potential. arXiv: 0805.1544v2
-
Tao, T. A global compact attractor for high-dimensional defocusing non-linear Schrödinger equations with potential. arXiv: 0805.1544v2, 2008.
-
(2008)
-
-
Tao, T.1
-
28
-
-
0036221809
-
Asymptotic dynamics of nonlinear Schrödinger equations: resonance-dominated and dispersion-dominated solutions
-
Tsai, T.-P.; Yau, H.-T. Asymptotic dynamics of nonlinear Schrödinger equations: resonance-dominated 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
-
29
-
-
0000686130
-
Modulational stability of ground states of nonlinear Schrödinger equations
-
Weinstein, M. I. Modulational stability of ground states of nonlinear Schrödinger equations. SIAM J. Math. Anal. 16 (1985), no. 3, 472-491.
-
(1985)
SIAM J. Math. Anal.
, vol.16
, Issue.3
, pp. 472-491
-
-
Weinstein, M.I.1
-
30
-
-
84990553584
-
Lyapunov stability of ground states of nonlinear dispersive evolution equations
-
Weinstein, M. I. Lyapunov stability of ground states of nonlinear dispersive evolution equations. Comm. Pure. Appl. Math. 39 (1986), no. 1, 51-68.
-
(1986)
Comm. Pure. Appl. Math.
, vol.39
, Issue.1
, pp. 51-68
-
-
Weinstein, M.I.1
-
31
-
-
0002557939
-
Exact theory of two-dimensional self-focusing and one-dimensional self-modulation of waves in nonlinear media
-
translated from Ž. Èksper. Teoret. Fiz. 61 (1971), no. 1, 118-134
-
Zakharov, V. E.; Shabat, A. B. Exact theory of two-dimensional self-focusing and one-dimensional self-modulation of waves in nonlinear media. Soviet Phys. JETP 34 (1972), no. 1, 62-69; translated from Ž. Èksper. Teoret. Fiz. 61 (1971), no. 1, 118-134.
-
(1972)
Soviet Phys. JETP
, vol.34
, Issue.1
, pp. 62-69
-
-
Zakharov, V.E.1
Shabat, A.B.2
|