CRITICAL NONLINEAR SCHRĂ–DINGER EQUATIONS WITH AND WITHOUT HARMONIC POTENTIAL
CRITICAL NONLINEAR SCHRĂ–DINGER EQUATIONS WITH AND WITHOUT HARMONIC POTENTIAL
We use a change of variables that turns the critical nonlinear Schrödinger equation into the critical nonlinear Schrödinger equation with isotropic harmonic potential, in any space dimension. This change of variables is isometric on L 2 , and bijective on some time intervals. Using the known results for the critical …