【摘要】 本文研究“坏的” Ｂｏｕｓｓｉｎｅｓａ型方程ｕｔｔ－ｕｘｘ－ｂｕｘｘｘｘ＝σ（ｕ）ｘｘ的周期边界问题与初值问题的解的存在性问题，其中ｂ＞０为常数，证明了在相当宽松的条件下，上述问题存在局部广义解．更多还原

【Abstract】 The paper studied the existence of solutions for the periodic boundary problem and the initial value problem of the "bad" Boussinesq type equation utt - uxx -buxxxx= σ(u)xx, where b > 0 is a constant, and proved that under rather mild conditions the above- mentioned problems have local generalized solutions.更多还原