【摘要】 本文中我们考虑了高阶齐次GBBMBurgers方程的Cauchy问题和初边值问题.对任意有界或无界区域,使用Banach不动点定理和解的先验估计得到整体强解的存在与惟一性.更多还原

【Abstract】 In this paper, we consider the Cauchy problem and the initial boundary value problem for the homogeneous GBBM Burgers equations of higher order. For any bounded or unbounded smooth domain, the existence and uniqueness of global strong solution are established by using Banach-fixed point theorem and a priori estimates for the Cauchy problem and IBV problem of homogeneous GBBM Burg-ers equations of higher order in W^μ,p（Ω）.更多还原