Scattering Versus Blowup Beyond the Mass-Energy Threshold for the Davey-Stewartson Equation in R3

• 作者: Yan Fang GAO Zhi Yong WANG
• 来源期刊: 数学学报（英文版）
• 年，卷（期）: 2021,（9）
• 页码范围: 1415-1436
• 页数: 22页
• 语种: 英文

摘要

We study the Cauchy problem for the Davey-Stewartson equation i(e)tu+Au+|u|2u+E1(|u|2)u=0,(t,x)∈R×R3.The dichotomy between scattering and finite time blow-up shall be proved for initial data with finite variance and with mass-energy M(uo)E(uo) above the ground state threshold M(Q)E(Q).