四阶Ginzburg-Landau型方程的初值问题

THE CAUCHY PROBLEM FOR THE FOURTH ORDER GINZBURG-LANDAU EQUATIONS

本文研究四阶Ｇｉｎｚｂｕｒｇ－Ｌａｎｄａｕ型方程的初值问题,通过建立一般半线性抛物方程的Ｌτ－解和Ｈｓ－解之间的联系,获得该方程的整体Ｈｓ－解的存在唯一性(ｓ＝１、２)。

The authors investigate the existence and uniqueness of solutions in Hs for the Cauchy problem of the fourth order Ginzburg-Landau equations. Some connections between L -solution and Hs-solution are established and the global well-posedness of solutions in Hs is shown (s = 1,2).