On defocusing coupled nonlinear Schrodinger equations
作者： Tarek Saanouni
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摘要: The initial value problem for some defocusing coupled nonlinear Schrodinger equations is investigated. Global well-posedness and scattering are established.
harvard.edu
arxiv.org参考文章(6)
J. Bourgain, Global wellposedness of defocusing critical nonlinear Schrödinger equation in the radial case Journal of the American Mathematical Society. ,vol. 12, pp. 145- 171 ,(1999) , 10.1090/S0894-0347-99-00283-0
Terence Tao, Nonlinear Dispersive Equations CBMS Regional Conference Series in Mathematics. ,vol. 106, ,(2006) , 10.1090/CBMS/106
J. Colliander, M. Keel, G. Staffilani, H. Takaoka, T. Tao, Global existence and scattering for rough solutions of a nonlinear Schr�dinger equation on ?3 Communications on Pure and Applied Mathematics. ,vol. 57, pp. 987- 1014 ,(2004) , 10.1002/CPA.20029
Tarek Saanouni, Scattering of a 2D Schrödinger equation with exponential growth in the conformal space Mathematical Methods in the Applied Sciences. ,vol. 33, pp. 1046- 1058 ,(2010) , 10.1002/MMA.1237
E Ryckman, M Visan, Global well-posedness and scattering for the defocusing energy-critical nonlinear Schrödinger equation in R1+4 American Journal of Mathematics. ,vol. 129, pp. 1- 60 ,(2007) , 10.1353/AJM.2007.0004
Monica Visan, The defocusing energy-critical nonlinear Schr\"odinger equation in higher dimensions arXiv: Analysis of PDEs. ,(2005)