Hang Wang

Global well-posedness for the energy-critical focusing NLS on $\mathbb T^3$

We prove global well-posedness for the focusing quintic nonlinear Schr\"odinger equation on the standard three-dimensional torus for initial data below the mass-corrected energy and Sobolev-norm thresholds determined by the Euclidean ground state. This gives a subthreshold focusing counterpart to the defocusing theorem...