Mass-critical cubic NLS scattering conjecture
Let μ=±1\mu=\pm1μ=±1, and let w0∈Lx2(R2)w_0\in L^2_x(\mathbb{R}^2)w0∈Lx2(R2). In the focusing case assume M(w0)<M(Q)M(w_0)<M(Q)M(w0)<M(Q). A solution scatters if there are w±∈Lx2w_\pm\in L^2_xw±∈Lx2 with…