摘要
We study the Cauchy problem for the Davey–Stewartson equation i?tu+Δu+|u|^(2) u+E1(|u|^(2))u=0,(t,x)∈R×R^(3).The dichotomy between scattering and finite time blow-up shall be proved for initial data with finite variance and with mass-energy M(u0)E(u0)above the ground state threshold M(Q)E(Q).
基金
Supported by Natural Science Foundation of China(Grant Nos.11501111,11771082 and 11601082)
China Scholarship Council(Grant No.201808350018)
Foundation of the Science and Technology Department of Fujian Province(Grant No.2017J05002)。
