摘要
The existence and uniqueness, of a global smooth solution for the initial valne problem of generalized Kuramoto-Sivashinsky type equations in multi-dimensions have been obtained. The sufficient conditions of 'blowing up' for the solution of some dissipative equations are given.
本文用积分估计和不动点原理证明了一类广义Kuramoto-Sivashinsky型方程初值问题光滑整体解的存在唯一性,并在不同情况下讨论了解的破裂性,并给出了导致破裂性的充分条件.
