-
1
-
-
28444487069
-
Remarks on the blow-up for the Schrödinger equation with critical mass on a plane domain
-
MR2064970 2005e:35209
-
Banica, V., Remarks on the blow-up for the Schrödinger equation with critical mass on a plane domain. Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 3(2004), no. 1, 139-170. MR2064970 (2005e:35209)
-
(2004)
Ann. Sc. Norm. Super. Pisa Cl. Sci.
, vol.3
, Issue.1-5
, pp. 139-170
-
-
Banica, V.1
-
2
-
-
78651272213
-
Minimal blow-up solutions to the mass-critical inhomogeneous focusing NLS equation
-
To appear in
-
Banica, V.; Carles, R.; Duyckaerts, T., Minimal blow-up solutions to the mass-critical inhomogeneous focusing NLS equation. To appear in Comm. Partial Diff. Eq.
-
Comm. Partial Diff. Eq
-
-
Banica, V.1
Carles, R.2
Duyckaerts, T.3
-
3
-
-
52349087894
-
Infinite time aggregation for the critical Patlak-Keller-Segel model in R2
-
MR2436186 2009d:35132
-
Blanchet, A.; Carrillo, J. A.; Masmoudi, N., Infinite time aggregation for the critical Patlak-Keller-Segel model in R2. Comm. Pure Appl. Math. 61(2008), no. 10, 1449-1481. MR2436186 (2009d:35132)
-
(2008)
Comm. Pure Appl. Math.
, vol.61
, Issue.10
, pp. 1449-1481
-
-
Blanchet, A.1
Carrillo, J.A.2
Masmoudi, N.3
-
4
-
-
0000246714
-
Construction of blowup solutions for the nonlinear Schrödinger equation with critical nonlinearity
-
no 1-2, MR1655515 99m:35219
-
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. MR1655515 (99m:35219)
-
(1997)
Ann. Scuola Norm. Sup. Pisa Cl. Sci.
, vol.25
, Issue.4
, pp. 197-215
-
-
Bourgain, J.1
Wang, W.2
-
6
-
-
0038238334
-
Two singular dynamics of the nonlinear Schrodinger equation on a plane domain
-
MR1978490 2004h:35206
-
Burq, N.; Gérard, P.; Tzvetkov, N. Two singular dynamics of the nonlinear Schrodinger equation on a plane domain. Geom. Funct. Anal. 13(2003), no. 1, 1-19. MR1978490 (2004h:35206)
-
(2003)
Geom. Funct. Anal.
, vol.13
, Issue.1
, pp. 1-19
-
-
Burq, N.1
Gérard, P.2
Tzvetkov, N.3
-
7
-
-
48249147411
-
Spectra of linearized operators for NLS solitary waves
-
MR2368894 2008k:35400
-
Chang, S. M.; Gustafson, S.; Nakanishi, K.; Tsai, T. P., Spectra of linearized operators for NLS solitary waves. SIAM J. Math. Anal. 39 (2007/08), no. 4, 1070-1111. MR2368894 (2008k:35400)
-
(2007)
SIAM J. Math. Anal.
, vol.39
, Issue.4
, pp. 1070-1111
-
-
Chang, S.M.1
Gustafson, S.2
Nakanishi, K.3
Tsai, T.P.4
-
8
-
-
63949086654
-
Dynamic of threshold solutions for energy-critical NLS
-
MR2491692 2010e:35258
-
Duyckaerts, T.; Merle, F., Dynamic of threshold solutions for energy-critical NLS, Geom. Funct. Anal. 18(2009), no. 6, 1787-1840. MR2491692 (2010e:35258)
-
(2009)
Geom. Funct. Anal.
, vol.18
, Issue.6
, pp. 1787-1840
-
-
Duyckaerts, T.1
Merle, F.2
-
9
-
-
33746745308
-
2 critical nonlinear Schrödinger equation
-
MR2252148 2007d:35254
-
2 critical nonlinear Schrödinger equation. Phys. D 220(2006), no. 1, 1-13. MR2252148 (2007d:35254)
-
(2006)
Phys. D
, vol.220
, Issue.1
, pp. 1-13
-
-
Fibich, G.1
Merle, F.2
Raphaël, P.3
-
10
-
-
34250271532
-
Symmetry and related properties via the maximum principle
-
MR544879 80h:35043
-
Gidas, B.; Ni, W. M.; Nirenberg, L., Symmetry and related properties via the maximum principle, Comm. Math. Phys. 68(1979), 209-243. MR544879 (80h:35043)
-
(1979)
Comm. Math. Phys.
, vol.68
, pp. 209-243
-
-
Gidas, B.1
Ni, W.M.2
Nirenberg, L.3
-
11
-
-
49249148441
-
On a class of nonlinear Schrodinger equations. I. The Cauchy problem, general case
-
MR533218 82c:35057
-
Ginibre, J.; Velo, G., On a class of nonlinear Schrodinger equations. I. The Cauchy problem, general case. J. Funct. Anal. 32(1979), no. 1, 1-32. MR533218 (82c:35057)
-
(1979)
J. Funct. Anal.
, vol.32
, Issue.1
, pp. 1-32
-
-
Ginibre, J.1
Velo, G.2
-
12
-
-
33750526878
-
Global well-posedness, scattering and blow-up for the energy-critical, focusing, non-linear Schrodinger equation in the radial case
-
MR2257393 2007g:35232
-
Kenig, C. E.; Merle, F., Global well-posedness, scattering and blow-up for the energy-critical, focusing, non-linear Schrodinger equation in the radial case, Invent. Math. 166(2006), no. 3, 645-675. MR2257393 (2007g:35232)
-
(2006)
Invent. Math.
, vol.166
, Issue.3
, pp. 645-675
-
-
Kenig, C.E.1
Merle, F.2
-
13
-
-
70450169280
-
Characterization of minimal-mass blowup solutions to the focusing mass-critical NLS
-
MR2505858 2010e:35264
-
Killip, R.; Li, D.; Visan, M.; Zhang, X., Characterization of minimal-mass blowup solutions to the focusing mass-critical NLS, SIAM J. Math. Anal. 41(2009), no. 1, 219-236. MR2505858 (2010e:35264)
-
(2009)
SIAM J. Math. Anal.
, vol.41
, Issue.1
, pp. 219-236
-
-
Killip, R.1
Li, D.2
Visan, M.3
Zhang, X.4
-
14
-
-
70449523102
-
On stability of pseudo-conformal blowup for L-critical Hartree NLS
-
MR2557200
-
Krieger, J.; Lenzmann, E.; Raphael, P, On stability of pseudo-conformal blowup for L-critical Hartree NLS, Ann. Henri Poincare 10(2009), 1159-1205. MR2557200
-
(2009)
Ann. Henri Poincare
, vol.10
, pp. 1159-1205
-
-
Krieger, J.1
Lenzmann, E.2
Raphael, P.3
-
15
-
-
75949096038
-
Two-soliton solutions to the three-dimensional gravitational Hartree equation
-
MR2560043 2010j:35506
-
Krieger, J.; Martël, Y.; Raphael, P., Two-soliton solutions to the three-dimensional gravitational Hartree equation, Comm. Pure App. Math. 62(2009), 1501-1550. MR2560043 (2010j:35506)
-
(2009)
Comm. Pure App. Math.
, vol.62
, pp. 1501-1550
-
-
Krieger, J.1
Martël, Y.2
Raphael, P.3
-
16
-
-
70350005122
-
Non-generic blow-up solutions for the critical focusing NLS in 1-D
-
MR2471133 2009m:35488
-
Krieger, J.; Schlag, W. Non-generic blow-up solutions for the critical focusing NLS in 1-D. J. Eur. Math. Soc. (JEMS) 11(2009), no. 1, 1-125. MR2471133 (2009m:35488)
-
(2009)
J. Eur. Math. Soc. (JEMS)
, vol.11
, Issue.1
, pp. 1-125
-
-
Krieger, J.1
Schlag, W.2
-
17
-
-
34249974409
-
n
-
MR969899-90d:35015
-
n. Arch. Rational Mech. Anal. 105(1989), no. 3, 243-266. MR969899 (90d:35015)
-
(1989)
Arch. Rational Mech. Anal.
, vol.105
, Issue.3
, pp. 243-266
-
-
Kwong, M.K.1
-
19
-
-
85030707196
-
The concentration-compactness principle in the calculus of variations. The locally compact case. I
-
MR778970 87e:49035a
-
Lions, P.-L.; The concentration-compactness principle in the calculus of variations. The locally compact case. I. Ann. Inst. H. Poincare Anal. Non Lineaire 1(1984), no. 2, 109-145. MR778970 (87e:49035a)
-
(1984)
Ann. Inst. H. Poincare Anal. Non Lineaire
, vol.1
, Issue.2
, pp. 109-145
-
-
Lions, P.-L.1
-
20
-
-
27544509563
-
Asymptotic N-soliton-like solutions of the subcritical and critical generalized Korteweg-de Vries equations
-
MR2170139 2007a:35128
-
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. MR2170139 (2007a:35128)
-
(2005)
Amer. J. Math.
, vol.127
, Issue.5
, pp. 1103-1140
-
-
Martel, Y.1
-
21
-
-
0036000529
-
Stability of blow-up profile and lower bounds for blow-up rate for the critical generalized KdV equation
-
MR1888800 2003e:35270
-
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(2002), no. 1, 235-280. MR1888800 (2003e:35270)
-
(2002)
Ann. of Math.
, vol.155
, Issue.1-2
, pp. 235-280
-
-
Martel, Y.1
Merle, F.2
-
22
-
-
0036872989
-
2-mass for the critical gKdV equation
-
MR1944576 2003j:35281
-
2-mass for the critical gKdV equation. Duke Math. J. 115(2002), no. 2, 385-408. MR1944576 (2003j:35281)
-
(2002)
Duke Math. J.
, vol.115
, Issue.2
, pp. 385-408
-
-
Martel, Y.1
Merle, F.2
-
23
-
-
33750213593
-
Multi solitary waves for nonlinear Schrodinger equations
-
MR2271697 2008f:35378
-
Martel, Y.; Merle, F., Multi solitary waves for nonlinear Schrodinger equations. Ann. Inst. H. Poincare Anal. Non Linéaire 23(2006), no. 6, 849-864. MR2271697 (2008f:35378)
-
(2006)
Ann. Inst. H. Poincare Anal. Non Linéaire
, vol.23
, Issue.6
, pp. 849-864
-
-
Martel, Y.1
Merle, F.2
-
24
-
-
84974001368
-
Determination of minimal blow-up solutions with minimal mass for nonlinear Schrodinger equations with critical power
-
MR1203233 94b:35262
-
Merle, F., Determination of minimal blow-up solutions with minimal mass for nonlinear Schrodinger equations with critical power. Duke Math. J. 69(1993), no. 2, 427-454. MR1203233 (94b:35262)
-
(1993)
Duke Math. J.
, vol.69
, Issue.2
, pp. 427-454
-
-
Merle, F.1
-
25
-
-
0001337201
-
Construction of solutions with exactly k blow-up points for the Schrodinger equation with critical nonlinearity
-
MR1048692 91e:35195
-
Merle, F., Construction of solutions with exactly k blow-up points for the Schrodinger equation with critical nonlinearity. Comm. Math. Phys. 129(1990), no. 2, 223-240. MR1048692 (91e:35195)
-
(1990)
Comm. Math. Phys.
, vol.129
, Issue.2
, pp. 223-240
-
-
Merle, F.1
-
27
-
-
20444437961
-
The blowup dynamic and upper bound on the blow-up rate for critical nonlinear Schrödinger equation
-
MR2150386 2006k:35277
-
Merle, F.; Raphaël, P., The blowup dynamic and upper bound on the blow-up rate for critical nonlinear Schrödinger equation. Ann. of Math. (2) 161(2005), no. 1, 157-222. MR2150386 (2006k:35277)
-
(2005)
Ann. of Math.
, vol.161
, Issue.1-2
, pp. 157-222
-
-
Merle, F.1
Raphaël, P.2
-
28
-
-
0041350485
-
Sharp upper bound on the blow-up rate for the critical nonlinear Schrödinger equation
-
MR1995801 2005j:35207
-
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. MR1995801 (2005j:35207)
-
(2003)
Geom. Funct. Anal.
, vol.13
, Issue.3
, pp. 591-642
-
-
Merle, F.1
Raphaël, P.2
-
29
-
-
2942586742
-
On universality of blow-up profile for L critical nonlinear Schrödinger equation
-
MR2061329 2006a:35283
-
Merle, F.; Raphaël, P., On universality of blow-up profile for L critical nonlinear Schrödinger equation. Invent. Math. 156(2004), no. 3, 565-672. MR2061329 (2006a:35283)
-
(2004)
Invent. Math.
, vol.156
, Issue.3
, pp. 565-672
-
-
Merle, F.1
Raphaël, P.2
-
30
-
-
30644464564
-
2 critical nonlinear Schrodinger equation
-
MR2169042 2006j:35223
-
2 critical nonlinear Schrodinger equation, J. Amer. Math. Soc. 19(2006), no. 1, 37-90. MR2169042 (2006j:35223)
-
(2006)
J. Amer. Math. Soc.
, vol.19
, Issue.1
, pp. 37-90
-
-
Merle, F.1
Raphael, P.2
-
31
-
-
34948897548
-
Existence and stability of the log-log blow-up dynamics for the L-critical nonlinear Schrodinger equation in a domain
-
MR2355345 2008i:35230
-
Planchon, F.; Raphaël, P., Existence and stability of the log-log blow-up dynamics for the L-critical nonlinear Schrodinger equation in a domain, Ann. Henri Poincare 8(2007), no. 6, 1177-1219. MR2355345 (2008i:35230)
-
(2007)
Ann. Henri Poincare
, vol.8
, Issue.6
, pp. 1177-1219
-
-
Planchon, F.1
Raphaël, P.2
-
32
-
-
13844296411
-
Stability of the log-log bound for blow up solutions to the critical non linear Schrödinger equation
-
MR2122541 2006b:35303
-
Raphaël, P., Stability of the log-log bound for blow up solutions to the critical non linear Schrödinger equation. Math. Ann. 331(2005), no. 3, 577-609. MR2122541 (2006b:35303)
-
(2005)
Math. Ann.
, vol.331
, Issue.3
, pp. 577-609
-
-
Raphaël, P.1
-
34
-
-
0041473959
-
Nonlinear Schrödinger equations and sharp interpolation estimates
-
MR691044 84d:35140
-
Weinstein, M. I., Nonlinear Schrödinger equations and sharp interpolation estimates, Comm. Math. Phys. 87(1983), 567-576. MR691044 (84d:35140)
-
(1983)
Comm. Math. Phys.
, vol.87
, pp. 567-576
-
-
Weinstein, M.I.1
-
35
-
-
84990553584
-
Lyapunov stability of ground states of nonlinear dispersive evolution equations
-
MR820338 87f:35023
-
Weinstein, M. I., Lyapunov stability of ground states of nonlinear dispersive evolution equations. Comm. Pure Appl. Math. 39(1986), no. 1, 51-67. MR820338 (87f:35023)
-
(1986)
Comm. Pure Appl. Math.
, vol.39
, Issue.1
, pp. 51-67
-
-
Weinstein, M.I.1
|