The instability property of the standing wave uω（t, x） = eiωtφ（x） for the Klein–Gordon– Hartree equation is investigated. For the case N≥3 and w2 〈2/N＋4-γ,it is shown that the standing wave eiwtφ（x） is...The instability property of the standing wave uω（t, x） = eiωtφ（x） for the Klein–Gordon– Hartree equation is investigated. For the case N≥3 and w2 〈2/N＋4-γ,it is shown that the standing wave eiwtφ（x） is strongly unstable by blow-up in finite time.展开更多
基金The first author is supported by the Key Project of Chinese Ministry of Education(Grant No.211162)Sichuan Province Science Foundation for Youths(Grant No.2012JQ0011)the second author is supported byNational Natural Science Foundation of China(Grant No.11371267)
文摘The instability property of the standing wave uω（t, x） = eiωtφ（x） for the Klein–Gordon– Hartree equation is investigated. For the case N≥3 and w2 〈2/N＋4-γ,it is shown that the standing wave eiwtφ（x） is strongly unstable by blow-up in finite time.
