-
1
-
-
0000817006
-
Instabilité des états stationnaires dans les équations de Schrödinger et de Klein-Gordon non linéaires
-
CASMEI, 0764-4442
-
Berestycki H. Cazenave T. Instabilité des états stationnaires dans les équations de Schrödinger et de Klein-Gordon non linéaires. C. R. Acad. Sci., Ser. I: Math. 1981, 293:489. CASMEI, 0764-4442
-
(1981)
C. R. Acad. Sci., Ser. I: Math.
, vol.293
, pp. 489
-
-
Berestycki, H.1
Cazenave, T.2
-
2
-
-
84856083537
-
-
American Mathematical Society Colloquium Publication (AMS, Providence, RI, ).
-
Bourgain J. Global Solutions of Nonlinear Schrödinger Equations 1999, 46. American Mathematical Society Colloquium Publication Vol. (AMS, Providence, RI ).
-
(1999)
Global Solutions of Nonlinear Schrödinger Equations
, vol.46
-
-
Bourgain, J.1
-
3
-
-
1342307967
-
Polychromatic partially spatially incoherent solitons in a noninstantaneous Kerr nonlinear medium
-
JOBPDE, 0740-3224, 10.1364/JOSAB.21.000397
-
Buljan H. Schwartz T. Segev M. Soljacic M. Christoudoulides D. Polychromatic partially spatially incoherent solitons in a noninstantaneous Kerr nonlinear medium. J. Opt. Soc. Am. B 2004, 21:397. JOBPDE, 0740-3224, 10.1364/JOSAB.21.000397
-
(2004)
J. Opt. Soc. Am. B
, vol.21
, pp. 397
-
-
Buljan, H.1
Schwartz, T.2
Segev, M.3
Soljacic, M.4
Christoudoulides, D.5
-
4
-
-
0036811041
-
Critical nonlinear Schrödinger equations with and without harmonic potential
-
MMMSEU, 0218-2025, 10.1142/S0218202502002215
-
Carles R. Critical nonlinear Schrödinger equations with and without harmonic potential. Math. Models Meth. Appl. Sci. 2002, 12:1513. MMMSEU, 0218-2025, 10.1142/S0218202502002215
-
(2002)
Math. Models Meth. Appl. Sci.
, vol.12
, pp. 1513
-
-
Carles, R.1
-
5
-
-
0141973496
-
-
Textos de Mètodos Matemáticos (Universidade Federal do Rio de Janeiro, Rio de Janeiro).
-
Cazenave T. An Introduction to Nonlinear Schrödinger Equations 1996, 26. Textos de Mètodos Matemáticos Vol. (Universidade Federal do Rio de Janeiro, Rio de Janeiro).
-
(1996)
An Introduction to Nonlinear Schrödinger Equations
, vol.26
-
-
Cazenave, T.1
-
6
-
-
10844227674
-
-
Courant Lecture Notes in Mathematics Vol. (New York University, Courant Institute of Mathematical Sciences, New York; American Mathematical Society, Providence, RI).
-
Cazenave T. Semilinear Schrödinger Equations 2003, 10. Courant Lecture Notes in Mathematics Vol. (New York University, Courant Institute of Mathematical Sciences, New York; American Mathematical Society, Providence, RI, ).
-
(2003)
Semilinear Schrödinger Equations
, vol.10
-
-
Cazenave, T.1
-
7
-
-
0011576999
-
Some remarks on the nonlinear Schrödinger equation in the critical case
-
LNMAA2, 0075-8434, 10.1007/BFb0086749
-
Cazenave T. Weissler F. Some remarks on the nonlinear Schrödinger equation in the critical case. Lect. Notes Math. 1989, 1394:18. LNMAA2, 0075-8434, 10.1007/BFb0086749
-
(1989)
Lect. Notes Math.
, vol.1394
, pp. 18
-
-
Cazenave, T.1
Weissler, F.2
-
8
-
-
0342647291
-
Self-focusing in the perturbed and unperturbed nonlinear Schrödinger equation in critical dimensions
-
SMJMAP, 0036-1399, 10.1137/S0036139997322407
-
Fibich G. Papanicolaou G. Self-focusing in the perturbed and unperturbed nonlinear Schrödinger equation in critical dimensions. SIAM J. Appl. Math. 1999, 60:183. SMJMAP, 0036-1399, 10.1137/S0036139997322407
-
(1999)
SIAM J. Appl. Math.
, vol.60
, pp. 183
-
-
Fibich, G.1
Papanicolaou, G.2
-
9
-
-
49249148441
-
On a class of nonlinear Schrödinger equations. I. The Cauchy problems, general case
-
JFUAAW, 0022-1236, 10.1016/0022-1236(79)90076-4
-
Ginibre J. Velo G. On a class of nonlinear Schrödinger equations. I. The Cauchy problems, general case. J. Funct. Anal. 1979, 32:1. JFUAAW, 0022-1236, 10.1016/0022-1236(79)90076-4
-
(1979)
J. Funct. Anal.
, vol.32
, pp. 1
-
-
Ginibre, J.1
Velo, G.2
-
10
-
-
85050669204
-
The global Cauchy problem for the nonlinear Schrödinger equation revisited
-
0294-1449
-
Ginibre J. Velo G. The global Cauchy problem for the nonlinear Schrödinger equation revisited. Ann. Inst. Henri Poincare, Anal. Non Lineaire 1985, 2:309. 0294-1449
-
(1985)
Ann. Inst. Henri Poincare, Anal. Non Lineaire
, vol.2
, pp. 309
-
-
Ginibre, J.1
Velo, G.2
-
11
-
-
36749114276
-
On the blowing up of solutions to the Cauchy problem for nonlinear Schrödinger equations
-
JMAPAQ, 0022-2488, 10.1063/1.523491
-
Glassey R.T. On the blowing up of solutions to the Cauchy problem for nonlinear Schrödinger equations. J. Math. Phys. 1977, 18:1794. JMAPAQ, 0022-2488, 10.1063/1.523491
-
(1977)
J. Math. Phys.
, vol.18
, pp. 1794
-
-
Glassey, R.T.1
-
12
-
-
0001404168
-
On nonlinear Schrödinger equations
-
AHPAAO, 0020-2339
-
Kato T. On nonlinear Schrödinger equations. Ann. Inst. Henri Poincare, Sect. A 1987, 46:113. AHPAAO, 0020-2339
-
(1987)
Ann. Inst. Henri Poincare, Sect. A
, vol.46
, pp. 113
-
-
Kato, T.1
-
13
-
-
0000818765
-
Nonlinear Schrödinger equations. Schrödinger operators (Sonderborg)
-
LNPHA4, 0075-8450, 10.1007/3-540-51783-9_22
-
Kato T. Nonlinear Schrödinger equations. Schrödinger operators (Sonderborg). Lect. Notes Phys. 1988, 345:218. LNPHA4, 0075-8450, 10.1007/3-540-51783-9_22
-
(1988)
Lect. Notes Phys.
, vol.345
, pp. 218
-
-
Kato, T.1
-
14
-
-
33645945606
-
On the blow up phenomenon of the critical nonlinear Schrödinger equations
-
JFUAAW, 0022-1236, 10.1016/j.jfa.2005.10.005
-
Keraani S. On the blow up phenomenon of the critical nonlinear Schrödinger equations. J. Funct. Anal. 2006, 235:171. JFUAAW, 0022-1236, 10.1016/j.jfa.2005.10.005
-
(2006)
J. Funct. Anal.
, vol.235
, pp. 171
-
-
Keraani, S.1
-
15
-
-
0034238872
-
Shape-changing collisions of coupled bright solitons in birefringent optical fibers
-
RMHPBE, 0034-4877, 10.1016/S0034-4877(01)80018-5
-
Lakshmanan M. Kanna T. Radhakrishnan R. Shape-changing collisions of coupled bright solitons in birefringent optical fibers. Rep. Math. Phys. 2000, 46:143. RMHPBE, 0034-4877, 10.1016/S0034-4877(01)80018-5
-
(2000)
Rep. Math. Phys.
, vol.46
, pp. 143
-
-
Lakshmanan, M.1
Kanna, T.2
Radhakrishnan, R.3
-
16
-
-
46449120917
-
Sharp thresholds of blow-up and global existence for the coupled nonlinear Schrödinger system
-
JMAPAQ, 0022-2488, 10.1063/1.2939238
-
Ma L. Zhao L. Sharp thresholds of blow-up and global existence for the coupled nonlinear Schrödinger system. J. Math. Phys. 2008, 49:062103. JMAPAQ, 0022-2488, 10.1063/1.2939238
-
(2008)
J. Math. Phys.
, vol.49
, pp. 062103
-
-
Ma, L.1
Zhao, L.2
-
17
-
-
0023293392
-
Nonlinear pulse propagation in birefringent optical fibers
-
IEJQA7, 0018-9197, 10.1109/JQE.1987.1073308
-
Menyuk C.R. Nonlinear pulse propagation in birefringent optical fibers. IEEE J. Quantum Electron. 1987, 23:174. IEJQA7, 0018-9197, 10.1109/JQE.1987.1073308
-
(1987)
IEEE J. Quantum Electron.
, vol.23
, pp. 174
-
-
Menyuk, C.R.1
-
18
-
-
84974001368
-
Determination of blow-up solutions with minimal mass for nonlinear Schrödinger equation with critical power
-
DUMJAO, 0012-7094, 10.1215/S0012-7094-93-06919-0
-
Merle F. Determination of blow-up solutions with minimal mass for nonlinear Schrödinger equation with critical power. Duke Math. J. 1993, 69:427. DUMJAO, 0012-7094, 10.1215/S0012-7094-93-06919-0
-
(1993)
Duke Math. J.
, vol.69
, pp. 427
-
-
Merle, F.1
-
19
-
-
2942586742
-
On universality of blow-up profile for L2 critical nonlinear Schrödinger equation
-
INVMBH, 0020-9910, 10.1007/s00222-003-0346-z
-
Merle F. Raphaël P. On universality of blow-up profile for L2 critical nonlinear Schrödinger equation. Invent. Math. 2004, 156:565. INVMBH, 0020-9910, 10.1007/s00222-003-0346-z
-
(2004)
Invent. Math.
, vol.156
, pp. 565
-
-
Merle, F.1
Raphaël, P.2
-
20
-
-
20444437961
-
The blow-up dynamic and upper bound on the blow-up rate for critical nonlinear Schrödinger equation
-
ANMAAH, 0003-486X, 10.4007/annals.2005.161.157
-
Merle F. Raphaël P. The blow-up dynamic and upper bound on the blow-up rate for critical nonlinear Schrödinger equation. Ann. Math. 2005, 161:157. ANMAAH, 0003-486X, 10.4007/annals.2005.161.157
-
(2005)
Ann. Math.
, vol.161
, pp. 157
-
-
Merle, F.1
Raphaël, P.2
-
21
-
-
1842709141
-
Compactness at blow-up time for L2 solutions of the critical nonlinear Schrödinger equation in 2D
-
1073-7928, 10.1155/S1073792898000270
-
Merle F. Vega L. Compactness at blow-up time for L2 solutions of the critical nonlinear Schrödinger equation in 2D. Int. Math. Res. Notices 1998, 1998:399. 1073-7928, 10.1155/S1073792898000270
-
(1998)
Int. Math. Res. Notices
, vol.1998
, pp. 399
-
-
Merle, F.1
Vega, L.2
-
22
-
-
0000835523
-
Blow-up of H1 solutions for the nonlinear Schrödinger equation
-
JDEQAK, 0022-0396, 10.1016/0022-0396(91)90052-B
-
Ogawa T. Tsutsumi Y. Blow-up of H1 solutions for the nonlinear Schrödinger equation. J. Differ. Equations 1991, 92:317. JDEQAK, 0022-0396, 10.1016/0022-0396(91)90052-B
-
(1991)
J. Differ. Equations
, vol.92
, pp. 317
-
-
Ogawa, T.1
Tsutsumi, Y.2
-
23
-
-
0001675452
-
Measurements of collective collapse in a Bose-Einstein condensate with attractive interactions
-
PRLTAO, 0031-9007, 10.1103/PhysRevLett.82.876
-
Sackett C.A. Gerton J.M. Welling M. Hulet R.G. Measurements of collective collapse in a Bose-Einstein condensate with attractive interactions. Phys. Rev. Lett. 1999, 82:876. PRLTAO, 0031-9007, 10.1103/PhysRevLett.82.876,
-
(1999)
Phys. Rev. Lett.
, vol.82
, pp. 876
-
-
Sackett, C.A.1
Gerton, J.M.2
Welling, M.3
Hulet, R.G.4
-
24
-
-
33847197945
-
Least energy solitary waves for a system of nonlinear Schrödinger equations
-
CMPHAY, 0010-3616, 10.1007/s00220-006-0179-x
-
Sirakov B. Least energy solitary waves for a system of nonlinear Schrödinger equations. Commun. Math. Phys. 2007, 271:199. CMPHAY, 0010-3616, 10.1007/s00220-006-0179-x
-
(2007)
Commun. Math. Phys.
, vol.271
, pp. 199
-
-
Sirakov, B.1
-
25
-
-
0033460613
-
Resonances, radiation damping and instability in Hamiltonian nonlinear wave equations
-
INVMBH, 0020-9910, 10.1007/s002220050303
-
Soffer A. Weinstein M.I. Resonances, radiation damping and instability in Hamiltonian nonlinear wave equations. Invent. Math. 1999, 136:9. INVMBH, 0020-9910, 10.1007/s002220050303
-
(1999)
Invent. Math.
, vol.136
, pp. 9
-
-
Soffer, A.1
Weinstein, M.I.2
-
26
-
-
75749093908
-
Stability and instability of solitary waves for a system of Schrödinger equations with combined power-type nonlinearities
-
JMANAK, 0022-247X, 10.1016/j.jmaa.2009.12.011
-
Song X.F. Stability and instability of solitary waves for a system of Schrödinger equations with combined power-type nonlinearities. J. Math. Anal. Appl. 2010, 366:345. JMANAK, 0022-247X, 10.1016/j.jmaa.2009.12.011
-
(2010)
J. Math. Anal. Appl.
, vol.366
, pp. 345
-
-
Song, X.F.1
-
28
-
-
34548321243
-
The nonlinear Schrödinger equation with combined power-type nonlinearities
-
CPDIDZ, 0360-5302, 10.1080/03605300701588805
-
Tao T. Visan M. Zhang X.Y. The nonlinear Schrödinger equation with combined power-type nonlinearities. Commun. Partial Differ. Equ. 2007, 32:1281. CPDIDZ, 0360-5302, 10.1080/03605300701588805
-
(2007)
Commun. Partial Differ. Equ.
, vol.32
, pp. 1281
-
-
Tao, T.1
Visan, M.2
Zhang, X.Y.3
-
29
-
-
0001028214
-
Critical number of atoms for the magnetically trapped Bose-Einstein condensate with negative s-wave scattering length
-
PYLAAG, 0375-9601, 10.1016/S0375-9601(98)00583-0
-
Wadati M. Tsurumi T. Critical number of atoms for the magnetically trapped Bose-Einstein condensate with negative s-wave scattering length. Phys. Lett. A 1998, 247:287. PYLAAG, 0375-9601, 10.1016/S0375-9601(98)00583-0
-
(1998)
Phys. Lett. A
, vol.247
, pp. 287
-
-
Wadati, M.1
Tsurumi, T.2
-
30
-
-
0041473959
-
Nonlinear Schrödinger equations and sharp interpolations estimates
-
CMPHAY, 0010-3616, 10.1007/BF01208265
-
Weinstein M.I. Nonlinear Schrödinger equations and sharp interpolations estimates. Commun. Math. Phys. 1983, 87:567. CMPHAY, 0010-3616, 10.1007/BF01208265
-
(1983)
Commun. Math. Phys.
, vol.87
, pp. 567
-
-
Weinstein, M.I.1
-
31
-
-
0000686130
-
Modulation stability of ground state of nonlinear Schrödinger equations
-
SJMAAH, 0036-1410, 10.1137/0516034
-
Weinstein M.I. Modulation stability of ground state of nonlinear Schrödinger equations. SIAM J. Math. Anal. 1985, 16:472. SJMAAH, 0036-1410, 10.1137/0516034
-
(1985)
SIAM J. Math. Anal.
, vol.16
, pp. 472
-
-
Weinstein, M.I.1
-
32
-
-
0002065730
-
On fundamental solution of time dependent Schrödinger equations
-
CTMAEH, 0271-4132
-
Yajima K. On fundamental solution of time dependent Schrödinger equations. Contemp. Math. 1998, 217:46. CTMAEH, 0271-4132
-
(1998)
Contemp. Math.
, vol.217
, pp. 46
-
-
Yajima, K.1
-
33
-
-
27944469641
-
Sharp threshold for blow-up and global existence in nonlinear Schrödinger equations under a harmonic potential
-
CPDIDZ, 0360-5302, 10.1080/03605300500299539
-
Zhang J. Sharp threshold for blow-up and global existence in nonlinear Schrödinger equations under a harmonic potential. Commun. Partial Differ. Equ. 2005, 30:1429. CPDIDZ, 0360-5302, 10.1080/03605300500299539
-
(2005)
Commun. Partial Differ. Equ.
, vol.30
, pp. 1429
-
-
Zhang, J.1
|