Voir la notice de l'article provenant de la source Cambridge University Press
MA, LI; SONG, XIANFA; ZHAO, LIN. ON GLOBAL ROUGH SOLUTIONS TO A NON-LINEAR SCHRÖDINGER SYSTEM. Glasgow mathematical journal, Tome 51 (2009) no. 3, pp. 499-511. doi: 10.1017/S0017089509005138
@article{10_1017_S0017089509005138,
author = {MA, LI and SONG, XIANFA and ZHAO, LIN},
title = {ON {GLOBAL} {ROUGH} {SOLUTIONS} {TO} {A} {NON-LINEAR} {SCHR\"ODINGER} {SYSTEM}},
journal = {Glasgow mathematical journal},
pages = {499--511},
year = {2009},
volume = {51},
number = {3},
doi = {10.1017/S0017089509005138},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089509005138/}
}
TY - JOUR AU - MA, LI AU - SONG, XIANFA AU - ZHAO, LIN TI - ON GLOBAL ROUGH SOLUTIONS TO A NON-LINEAR SCHRÖDINGER SYSTEM JO - Glasgow mathematical journal PY - 2009 SP - 499 EP - 511 VL - 51 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089509005138/ DO - 10.1017/S0017089509005138 ID - 10_1017_S0017089509005138 ER -
%0 Journal Article %A MA, LI %A SONG, XIANFA %A ZHAO, LIN %T ON GLOBAL ROUGH SOLUTIONS TO A NON-LINEAR SCHRÖDINGER SYSTEM %J Glasgow mathematical journal %D 2009 %P 499-511 %V 51 %N 3 %U http://geodesic.mathdoc.fr/articles/10.1017/S0017089509005138/ %R 10.1017/S0017089509005138 %F 10_1017_S0017089509005138
[1] 1.Akhmediev, N. and Ankiewicz, A., Partially coherent solitons on a finite background, Phys. Rev. Lett. 82 (1999), 2661. Google Scholar | DOI
[2] 2.Bourgain, J., Refinements of Strichartz's inequality and applications to 2D-NLS with critical nonlinearity, Int. Math. Res. Notices 5 (1998), 253–283. Google Scholar | DOI
[3] 3.Bourgain, J., Global solutions of nonlinear Schrödinger equations (American Mathematical Society, Providence, RI, 1999). Google Scholar | DOI
[4] 4.Buljan, H., Schwartz, T., Segev, M., Soljacic, M. and Christoudoulides, D., Polychromatic partially spatially incoherent solitons in a noninstantaneous Kerr nonlinear medium, J. Opt. Soc. Am. B 21 (2004), 397–404. Google Scholar | DOI
[5] 5.Cazenave, T. and Weissler, F., The Cauchy problem for the nonlinear Schrödinger equation in H 1, Manuscripta Math. 61 (1988), 477–494. Google Scholar | DOI
[6] 6.Colliander, J., Keel, M., Staffilani, G., Takaoka, H. and Tao, T., Almost conservation laws and global rough solutions to a nonlinear Schrödinger equation, Math. Res. Lett. 9 (2002), 659–682. Google Scholar | DOI
[7] 7.Colliander, J., Keel, M., Staffilani, G., Takaoka, H. and Tao, T., Multi-linear estimates for periodic Kdv equations, and applications, J. Funct. Anal. 211 (2004), 173–218. Google Scholar | DOI
[8] 8.Colliander, J., Raynor, S., Sulem, C. and Wright, J. D., Ground state mass concentration in the L 2-critical nonlinear Schrödinger equation below H 1, Math. Res. Lett. 12 (2005), 357–375. Google Scholar | DOI
[9] 9.Gidas, B., Ni, W. M. and Nirenberg, L., Symmetry of positive solutions of nonlinear elliptic equations in n, Adv. Math. Studies 7 (1981), 369–402. Google Scholar
[10] 10.Hioe, F. T., Solitary waves for N coupled nonlinear Schrödinger equations, Phys. Rev. Lett. 82 (1999), 1152–1155. Google Scholar | DOI
[11] 11.Ma, L. and Zhao, L., Sharp thresholds of blow-up and global existence for the coupled nonlinear Schrödinger system, J. Math. Phys. 49 (2008), 062103. Google Scholar | DOI
[12] 12.Ma, L. and Zhao, L., Uniqueness of ground state of some coupled nonlinear Schrödinger system, J. Diff. Eq. 245 (2008), 2551–2565. Google Scholar | DOI
[13] 13.Ma, L. and Zhao, L., On energy stability for the coupled nonlinear Schrödinger system (Zeitschrift fur Angewandte Mathematik und Physik, 2009). Google Scholar | DOI
[14] 14.Takaoka, H., Global well-posedness for the Schrödinger equations with derivative in a nonlinear term and data in low order Sobolev space, Electronic J. Diff. Eq. 42 (2001), 1–23. Google Scholar
[15] 15.Yajima, K., Existence of solutions for Schrödinger evolution equations, Comm. Math. Phys. 110 (1987), 415–426. Google Scholar | DOI
Cité par Sources :