Minimal Blow-Up Solutions to the Mass-Critical Inhomogeneous NLS Equation, Communications in Partial Differential Equations, vol.117, issue.3, pp.487-531, 2011. ,
DOI : 10.1137/0516034
URL : https://hal.archives-ouvertes.fr/hal-00374344
The Cauchy Problem for the Nonlinear Schr??dinger Equation on a Compact Manifold, Journal of Nonlinear Mathematical Physics, vol.3, issue.1, pp.12-27, 2003. ,
DOI : 10.2991/jnmp.2003.10.s1.2
Bilinear eigenfunction estimates and the nonlinear Schr???dinger equation on surfaces, Inventiones mathematicae, vol.29, issue.1, pp.187-223, 2005. ,
DOI : 10.1007/s00222-004-0388-x
Orbital stability of standing waves for some nonlinear schrödinger equations, pp.549-561, 1982. ,
On a class of nonlinear Schr??dinger equations. I. The Cauchy problem, general case, Journal of Functional Analysis, vol.32, issue.1, pp.1-71, 1979. ,
DOI : 10.1016/0022-1236(79)90076-4
Determination of blow-up solutions with minimal mass for nonlinear Schrödinger equation with critical power, Duke Math. J, vol.69, 1993. ,
Non existence of minimal blow-up solutions of equation iu t = ??u ? k(x)|u| 4, Inst. H. Poincaré Phys. Théor, vol.64, issue.1, pp.33-85, 1996. ,
Sharp upper bound on the blow-up rate for the critical nonlinear Schr???dinger equation, Geometric And Functional Analysis, vol.13, issue.3, pp.591-642, 2003. ,
DOI : 10.1007/s00039-003-0424-9
On universality of blow-up profile for L 2 critical nonlinear Schr???dinger equation, Inventiones Mathematicae, vol.156, issue.3, pp.565-672, 2004. ,
DOI : 10.1007/s00222-003-0346-z
The blow-up dynamic and upper bound on the blow-up rate for critical nonlinear Schr??dinger equation, Annals of Mathematics, vol.161, issue.1, pp.157-222, 2005. ,
DOI : 10.4007/annals.2005.161.157
Singular solutions of the Zakharov equations for Langmuir turbulence, Physics of Fluids B: Plasma Physics, vol.3, issue.4, pp.969-980, 1991. ,
DOI : 10.1063/1.859852
Existence and uniqueness of minimal blow-up solutions to an inhomogeneous mass critical NLS, Journal of the American Mathematical Society, vol.24, issue.2, p.1627, 2010. ,
DOI : 10.1090/S0894-0347-2010-00688-1
Nonlinear Schrödinger equations and sharp interpolation estimates, Comm. Math. Phys, vol.87, pp.567-576, 1983. ,