【摘要】 用 Galerkin方法研究了一类多维非线性色散波动方程 utt-Δutt-Δu =f(u)的初边值问题 ,得到了其整体强解的存在性及唯一性 ,并在一定条件下证明了整体解的不存在性 ,给出了其解爆破的时间上界。更多还原

【Abstract】 The initial boundary value problem with first homogeneous boundary condiation for a class of multidimensional nonlinear disperive wave equation u tt -Δu tt -Δu=f(u) is studied.The existence and uniqueness of global strong solution are obtained by means of a priori estimation and the Galerkin method,and the non existence of global solutions are also proved under certain conditions.更多还原