【摘要】 该文考虑一类新的非线性方程(|ut|r- 2 ut)t-Δutt-Δu - ρ(t)Δut=f(u)的初边值问题,利用小扰动法证明了整体弱解的存在性,借用位势井的概念得到了解的稳定性更多还原

【Abstract】 In this paper the initial boundary value problem for the nonlinear evolution equation (|u t| r-2u t) t-Δu-ρ(t)Δu t=f(u) is considered. The existence of global weak solution and the stability are proved.更多还原