-
1
-
-
0020591567
-
Nonlinear scalar field equations. I. Existence of a ground state
-
Berestycki, H., Lions, P.-L.: Nonlinear scalar field equations. I. Existence of a ground state. Arch. Rat. Mech. Anal. 82(4), 313-345 (1983)
-
(1983)
Arch. Rat. Mech. Anal.
, vol.82
, Issue.4
, pp. 313-345
-
-
Berestycki, H.1
Lions, P.-L.2
-
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(1-2). 197-215 (1998)
-
(1998)
Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4)
, vol.25
, Issue.1-2
, pp. 197-215
-
-
Bourgain, J.1
Wang, W.2
-
3
-
-
0011576999
-
Some remarks on the nonlinear Schrödinger equation in the critical case
-
Nonlinear semigroups, partial differential equations and attractors (Washington, DC, 1987), Berlin: Springer
-
Cazenave, Th., Weissler, F.: Some remarks on the nonlinear Schrödinger equation in the critical case. In: Nonlinear semigroups, partial differential equations and attractors (Washington, DC, 1987), Lecture Notes in Math. 1394. Berlin: Springer, 1989, pp. 18-29
-
(1989)
Lecture Notes in Math.
, vol.1394
, pp. 18-29
-
-
Cazenave, T.1
Weissler, F.2
-
4
-
-
49249148441
-
On a class of nonlinear Schrödinger equations. I. The Cauchy problem, general case
-
Ginibre, J., Velo, G.: On a class of nonlinear Schrödinger equations. I. The Cauchy problem, general case. J. Funct. Anal. 32(1), 1-32 (1979)
-
(1979)
J. Funct. Anal.
, vol.32
, Issue.1
, pp. 1-32
-
-
Ginibre, J.1
Velo, G.2
-
5
-
-
21344478851
-
Existence of self-similar blow-up solutions for Zakharov equation in dimension two. I
-
Glangetas, L., Merle, F.: Existence of self-similar blow-up solutions for Zakharov equation in dimension two. I. Commun. Math. Phys. 160(1), 173-215 (1994)
-
(1994)
Commun. Math. Phys.
, vol.160
, Issue.1
, pp. 173-215
-
-
Glangetas, L.1
Merle, F.2
-
7
-
-
0000893351
-
Rate of blowup for solutions of the nonlinear Schrödinger equation at critical dimension
-
Landman, M.J., Papanicolaou, G.C., Sulem, C., Sulem, P.-L.: Rate of blowup for solutions of the nonlinear Schrödinger equation at critical dimension. Phys. Rev. A (3) 38(8), 3837-3843 (1988)
-
(1988)
Phys. Rev. A (3)
, vol.38
, Issue.8
, pp. 3837-3843
-
-
Landman, M.J.1
Papanicolaou, G.C.2
Sulem, C.3
Sulem, P.-L.4
-
8
-
-
0036000529
-
Stability of blow-up profile and lower bounds for blow-up rate for the critical generalized KdV equation
-
Martel, Y., Merle, F.: Stability of blow-up profile and lower bounds for blow-up rate for the critical generalized KdV equation, Ann. of Math. (2) 155(1), 235-280 (2002)
-
(2002)
Ann. of Math. (2)
, vol.155
, Issue.1
, pp. 235-280
-
-
Martel, Y.1
Merle, F.2
-
9
-
-
0001337201
-
Construction of solutions with exact k blow up points for the Schrödinger equation with critical power
-
Merle, F.: Construction of solutions with exact k blow up points for the Schrödinger equation with critical power. Commun. Math.Phys. 129, 223-240 (1990)
-
(1990)
Commun. Math.Phys.
, vol.129
, pp. 223-240
-
-
Merle, F.1
-
10
-
-
84974001368
-
Determination of blow-up solutions with minimal mass for nonlinear Schrödinger equations with critical power
-
Merle, F.: Determination of blow-up solutions with minimal mass for nonlinear Schrödinger equations with critical power. Duke Math. J. 69(2), 427-454 (1993)
-
(1993)
Duke Math. J.
, vol.69
, Issue.2
, pp. 427-454
-
-
Merle, F.1
-
11
-
-
13844268932
-
Blow up dynamic and upper bound on the blow up rate for critical nonlinear Schrödinger equation
-
To appear in
-
Merle, F., Raphael, P.: Blow up dynamic and upper bound on the blow up rate for critical nonlinear Schrödinger equation. To appear in Annals of Math.
-
Annals of Math
-
-
Merle, F.1
Raphael, P.2
-
12
-
-
0041350485
-
Sharp upper bound on the blow up rate for critical nonlinear Schrödinger equation
-
Merle, F., Raphael, P.: Sharp upper bound on the blow up rate for critical nonlinear Schrödinger equation, Geom. Funct. Anal. 13, 591-642 (2003)
-
(2003)
Geom. Funct. Anal.
, vol.13
, pp. 591-642
-
-
Merle, F.1
Raphael, P.2
-
13
-
-
2942586742
-
2 critical nonlinear Schrödinger equation
-
2 critical nonlinear Schrödinger equation. Invent. Math. 156, 565-672 (2004)
-
(2004)
Invent. Math.
, vol.156
, pp. 565-672
-
-
Merle, F.1
Raphael, P.2
-
15
-
-
0000704928
-
2 concentration of blow up solutions for the nonlinear Schrödinger equation with critical power nonlinearity
-
2 concentration of blow up solutions for the nonlinear Schrödinger equation with critical power nonlinearity. J. Diff. Eq. 84, 205-214 (1990)
-
(1990)
J. Diff. Eq.
, vol.84
, pp. 205-214
-
-
Merle, F.1
Tsutsumi, Y.2
-
16
-
-
0033484486
-
Asymptotic and limiting profiles of blowup solutions of the nonlinear Schrödinger equation with critical power
-
Nawa, H.: Asymptotic and limiting profiles of blowup solutions of the nonlinear Schrödinger equation with critical power. Commun. Pure Appl. Math. 52(2), 193-270 (1999)
-
(1999)
Commun. Pure Appl. Math.
, vol.52
, Issue.2
, pp. 193-270
-
-
Nawa, H.1
-
17
-
-
0035537074
-
On the blow up phenomenon for the critical nonlinear Schrödinger equation in 1D
-
Perelman, G.: On the blow up phenomenon for the critical nonlinear Schrödinger equation in 1D. Ann. Henri. Poincaré 2, 605-673 (2001)
-
(2001)
Ann. Henri. Poincaré
, vol.2
, pp. 605-673
-
-
Perelman, G.1
-
18
-
-
84860079575
-
Stability of the log-log bound for blow up solutions to the critical nonlinear Schrödinger equation
-
To appear in
-
Raphael, P.: Stability of the log-log bound for blow up solutions to the critical nonlinear Schrödinger equation. To appear in Math. Annalen
-
Math. Annalen
-
-
Raphael, P.1
-
19
-
-
0003230098
-
The nonlinear Schrödinger equation. Self-focusing and wave collapse
-
New York: Springer-Verlag
-
Sulem, C., Sulem, P.L.: The nonlinear Schrödinger equation. Self-focusing and wave collapse. Applied Mathematical Sciences 139, New York: Springer-Verlag, 1999
-
(1999)
Applied Mathematical Sciences
, vol.139
-
-
Sulem, C.1
Sulem, P.L.2
-
20
-
-
0041473959
-
Nonlinear Schrödinger equations and sharp interpolation estimates
-
Weinstein, M.I.: Nonlinear Schrödinger equations and sharp interpolation estimates. Commun. Math. Phys. 87, 567-576 (1983)
-
(1983)
Commun. Math. Phys.
, vol.87
, pp. 567-576
-
-
Weinstein, M.I.1
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