Low-regularity scattering conjecture for defocusing nonlinear wave equations
Let sc≥0s_c\geq0sc≥0, mu=−1mu=-1mu=−1, and let (u0,u1)∈H˙sc×H˙sc−1(u_0,u_1)\in\dot{H}^{s_c}\times\dot{H}^{s_c-1}(u0,u1)∈H˙sc×H˙sc−1. Low regularity conjecture. The corresponding solution uuu is global and scatters: there exist uni…