Advanced Search
Article Contents
Article Contents

On the cauchy problem for the coupled Klein Gordon Schrödinger system with rough data

Abstract Related Papers Cited by
  • An interaction equations of the complex scalar nucleon field and real scalar meson field is considered. we show that the Cauchy problem of the Klein-Gordon-Schrödinger system

    $ iu_{t}+u_{x x}=-uv, $

    $ v_{t t}-v_{x x}+v=|u|^2,$

    $u(0, x)= u_0(x), v(0, x)= v_0(x), v_t(0, x)= v_1(x)$

    is locally well-posed for weak initial data $(u_0, v_0, v_1)\in H^s\times H^{s-1/2}\times H^{s-3/2}$ with $s\geq 0$. We use the analogous method for estimate the nonlinear couple terms developed by Bourgain and refined by Kenig, Ponce and Vega.

    Mathematics Subject Classification: Primary 35Q99, 35B65.


    \begin{equation} \\ \end{equation}
  • 加载中

Article Metrics

HTML views() PDF downloads(70) Cited by(0)

Access History

Other Articles By Authors



    DownLoad:  Full-Size Img  PowerPoint