摘要
讨论了一类非线性双重退缩方程ut=div(| um|p-2 um)Cauchy问题的解up(x,t)当p→∞时的极限.通过对方程解的大小估计、解关于变量x,t的导数估计,得到了在不同初值f(x),当p→∞时,解up(x,t)的极限情况.
In this paper, a doubly nonlinear degenerate parabolic equation u_t=div(|u^m|^(p-2)u^m) is considered .The solution and its different with respect to x,t are estimated to gain the limit of the solution in different initial values.
出处
《厦门大学学报(自然科学版)》
CAS
CSCD
北大核心
2004年第3期298-301,共4页
Journal of Xiamen University:Natural Science